300 (number)

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This article is about the numbers 300 to 399. For other uses of 300, see 300 (disambiguation). For the guitar, see Gibson ES-335. For the digital agency, see 352 Inc. For the British tilting train, see British Rail Class 390. For the Dada magazine, see 391 (magazine). For the automobile, see Volvo 340, Ferrari 348, BMW 315, BMW 328, BMW 335 and Porsche 356. For the global warming awareness movement, see 350.org. For a group of hominid fossils, see AL 333. For the jet aircraft, see Tupolev Tu-334. For the propeller driven airliner, see Boeing 377. For the US highway, see U.S. Route 395. For the game developer, see 343 Industries.
299 300 301
Cardinal three hundred
Ordinal 300th
(three hundredth)
Factorization 22× 3 × 52
Roman numeral CCC
Binary 1001011002
Ternary 1020103
Quaternary 102304
Quinary 22005
Senary 12206
Octal 4548
Duodecimal 21012
Hexadecimal 12C16
Vigesimal F020
Base 36 8C36
Hebrew ש (Shin)

300 (three hundred) is the natural number following 299 and preceding 301.

Mathematical properties[edit]

It is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

Other fields[edit]

Three hundred is

  • In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes).
  • The lowest possible Fair Isaac credit score.
  • In paintball, 300 ft/s is the maximum legal velocity of a shot paintball.
  • In the Old Testament 300 are the number ancient Israeli Judge Gideon's followers victorious against the Midianites
  • According to Islamic tradition 300 are the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers
  • According to Herodotus, 300 are the number of ancient Spartans resisting 1 million Persian invasion force during The Battle of Thermopylae
  • In Islamic history, 300 are the number of Muhammad's followers victorious in the Battle of Badr
  • 300 are the number of families followers of Jewish heretic Sabbatai Zevi forced to convert to Islam by the Ottoman Sultan and became the ancestors of Donmeh

Integers from 301 to 399[edit]

300s[edit]

301[edit]

301 = 7 × 43. 301 is the sum of three consecutive primes (97 + 101 + 103), happy number in base 10

A HTTP status code, indicating the content has been moved and the change is permanent (permanent redirect). It is also the number of a debated Turkish penal code. It is the number at which YouTube views most frequently freeze temporarily while validation is carried out.[1]

302[edit]

302 = 2 × 151. 302 is a Nontotient

302 is the HTTP status code indicating the content has been moved (temporary redirect). It is also the displacement in cubic inches of Ford's "5.0" V8.

303[edit]

303 = 3 × 101.

303 is the "See Other" HTTP status code, indicating content can be found elsewhere. Model number of the Roland TB-303 synthesizer which is accredited as having been used to create the first Acid House music tracks in the late 1980s.

304[edit]

304 = 24 × 19. 304 is the sum of six consecutive primes (41 + 43 + 47 + 53 + 59 + 61), sum of eight consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), primitive semiperfect number, untouchable number, nontotient

304 is the HTTP code indicating the content has not been modified, and the record number of wickets taken in English cricket season by Tich Freeman in 1928. 304 is also the name of a card game popular in Sri Lanka and southern India.

305[edit]

305 = 5 × 61.

305 is the HTTP status code indicating a proxy must be used

306[edit]

306 = 2 × 32 × 17. 306 is the sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, and an untouchable number.

It is also a telephone area code for the province of Saskatchewan, Canada.

307[edit]

307 is a prime number, Chen prime, and the HTTP status code for "Temporary Redirect"

308[edit]

308 = 22 × 7 × 11. 308 is a Nontotient, totient sum of the first 31 integers, Harshad number, heptagonal pyrimidal number, and the sum of two consecutive primes (151 + 157).

309[edit]

309 = 3 × 103

310s[edit]

310[edit]

310 = 2 × 5 × 31. 310 is a sphenic number, noncototient, and self number.

311[edit]

311: a prime number, see 311 (number)

312[edit]

312 = 23 × 3 × 13. 312 is Harshad number and self number

313[edit]

313: a prime number, see 313.

314[edit]

314 = 2 × 157. 314 is a Nontotient.

315[edit]

315 = 32 × 5 × 7. 315 is a Harshad number

316[edit]

316 = 22 × 79. 316 is a centered triangular number and a centered heptagonal number

317[edit]

317 is a prime number, Eisenstein prime with no imaginary part, Chen prime, and a strictly non-palindromic number.

317 is also shorthand for the LM317 adjustable regulator chip. It is also the area code for the Indianapolis region.

318[edit]

318 = 2 × 3 × 53. It is a sphenic number, nontotient, and the sum of twelve consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47)

319[edit]

319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number, cannot be represented as the sum of fewer than 19 4th powers, happy number in base 10

"319" is a song by Prince.

320s[edit]

320[edit]

320 = 26 × 5 = (25) × (2 × 5). 320 is a Leyland number, maximum determinant of a 10 by 10 matrix of zeros and ones, and a Harshad number. The largest of only two numbers (92 is the other) which has an hexadecimal representation of its MD5-value that starts with the number itself. A popular bitrate.

321[edit]

321 = 3 × 107, a Delannoy number

It is also an area code in central Florida.

322[edit]

322 = 2 × 7 × 23. 322 is a sphenic, nontotient, untouchable, Lucas number, and a Harshad number.

It is also seen as a Skull and Bones reference of power

323[edit]

323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number. A Lucas and Fibonacci pseudoprime. See 323 (disambiguation)

324[edit]

324 = 22 × 34 = 182. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number, and a Harshad number.

325[edit]

325 = 52 × 13. 325 is a triangular number, hexagonal number, nonagonal number, centered nonagonal number. 325 is the smallest number to be the sum of two squares in 3 different ways: 12 + 182, 62 + 172 and 102 + 152. 325 is also the smallest (and only known) 3-hyperperfect number.

326[edit]

326 = 2 × 163. 326 is a Nontotient, noncototient, and an untouchable number.

327[edit]

327 = 3 × 109. 327 is a perfect totient number.

328[edit]

328 = 23 × 41. 328 is the sum of the first fifteen primes, and a refactorable number.

329[edit]

329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number.

330s[edit]

330[edit]

330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient \tbinom {11}4 ), a pentagonal number, divisible by the number of primes below it, sparsely totient number, and a Harshad number. It is also the number of dimples on a British golf ball.

331[edit]

331 is a prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, and Mertens function returns 0.

332[edit]

332 = 22 × 83, Mertens function returns 0.

333[edit]

333 = 32 × 37, Mertens function returns 0, Harshad number.

Symbolically 333 is used to represent Choronzon, a demon used in the philosophy of Thelema

334[edit]

334 = 2 × 167, Nontotient, self number,

334 was the long-time highest score in Test cricket (held by Sir Donald Bradman and Mark Taylor). 334 is also the name of a science fiction novel by Thomas M. Disch.

335[edit]

335 = 5 × 67, divisible by the number of primes below it.

336[edit]

336 = 24 × 3 × 7, Harshad number, untouchable number, also the number of dimples on an American golf ball.

337[edit]

337, prime number, permutable prime with 373 and 733, Chen prime, star number

338[edit]

338 = 2 × 132, Nontotient.

339[edit]

339 = 3 × 113

340s[edit]

340[edit]

340 = 22 × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (41 + 42 + 43 + 44), divisible by the number of primes below it, nontotient, noncototient.

341[edit]

341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases less than 100 of b = 2, 15, 60, 63 and 78.

342[edit]

342 = 2 × 32 × 19, pronic number, Harshad number, untouchable number.

343[edit]

343 = 73, nice Friedman number since 343 = (3 + 4)3. It's the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z in a triplet (x,y,z) such that x5 + y2 = z3.

The speed of sound in dry air at 20 °C (68 °F) is 343 m/s. 343 was the number of New York City Fire Department members that died in the events of September 11, 2001.

344[edit]

344 = 23 × 43, octahedral number, noncototient, totient sum of the first 33 integers, refactorable number.

345[edit]

345 = 3 × 5 × 23, sphenic number, self number.

346[edit]

346 = 2 × 173, Smith number, noncototient.

347[edit]

347 is a prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, Friedman number since 347 = 73 + 4, and a strictly non-palindromic number.

It is the number of an area code in New York.

348[edit]

348 = 22 × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.

349[edit]

349, prime number, sum of three consecutive primes (109 + 113 + 127), the number of seats in the Swedish parliament.

350s[edit]

350[edit]

350 = 2 × 52 × 7, primitive semiperfect number, divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

350.org is an international environmental organization. 350 is the number of cubic inches displaced in the most common form of the Small Block Chevrolet V8.

351[edit]

351 = 33 × 13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number.

It is also the 351 Windsor engine from Ford Motor Company as well as the 351 (building) in St. John's, Newfoundland and Labrador.

352[edit]

352 = 25 × 11, the number of n-Queens Problem solutions for n = 9.

The number of international appearances by Kristine Lilly for the USA women's national football (soccer) team, an all-time record for the sport. 352, Inc. is a digital agency based in Gainesville, Florida.

353[edit]

353 is a prime number, Chen prime, Proth prime, Eisenstein prime with no imaginary part, palindromic prime, and Mertens function returns 0. 353 is the base of the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 3534 = 304 + 1204 + 2724 + 3154.

354[edit]

354 = 2 × 3 × 59, sphenic number, nontotient, also SMTP code meaning start of mail input.

355[edit]

355 = 5 × 71, Smith number, Mertens function returns 0, divisible by the number of primes below it. the numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü.

356[edit]

356 = 22 × 89, Mertens function returns 0, self number.

357[edit]

357 = 3 × 7 × 17, sphenic number.

357 also refers to firearms or ammunition of .357 caliber, with the best-known cartridge of that size being the .357 Magnum. The .357 SIG, whose name was inspired by the performance of the .357 Magnum, is actually a 9 mm or .355 caliber.

358[edit]

358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0.

359[edit]

359 is a prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, and strictly non-palindromic number.

360s[edit]

360[edit]

360 has its own article.

361[edit]

361 = 192, centered triangular number, centered octagonal number, centered decagonal number, member of the Mian–Chowla sequence; also the number of positions on a standard 19 x 19 Go board.

362[edit]

362 = 2 × 181, Mertens function returns 0, nontotient, noncototient.

363[edit]

363 = 3 × 112, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0, perfect totient number.

364[edit]

364 = 22 × 7 × 13, tetrahedral number, sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0, nontotient, Harshad number. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44).

The total number of gifts received in the song "The Twelve Days of Christmas".

365[edit]

365 = 5 × 73, it has its own article

366[edit]

366 = 2 × 3 × 61, sphenic number, Mertens function returns 0, noncototient. Also, the number of days in a leap year; it is 26-gonal and 123-gonal.

367[edit]

367 is a prime number, Perrin number, self number, happy number, and a strictly non-palindromic number.

368[edit]

368 = 24 × 23, it is also a Leyland number.

369[edit]

369 = 32× 41, it is the magic constant of the 9 × 9 normal magic square and n-queens problem for n = 9; there are 369 free polyominoes of order 8. With 370, a Ruth–Aaron pair with only distinct prime factors counted.

370s[edit]

370[edit]

370 = 2 × 5 × 37, sphenic number, sum of four consecutive primes (83 + 89 + 97 + 101), Nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Harshad number, Base 10 Armstrong number since 33 + 73 + 03 = 370.

System/370 is a computing architecture from IBM.

371[edit]

371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor (sequence A055233 in OEIS), the next such composite number is 2935561623745, Armstrong number since 33 + 73 + 13 = 371.

372[edit]

372 = 22 × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number, refactorable number.

373[edit]

373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime, two-sided primes.

374[edit]

374 = 2 × 11 × 17, sphenic number, nontotient.

375[edit]

375 = 3 × 53, Harshad number

376[edit]

376 = 23 × 47, pentagonal number, 1-automorphic number, nontotient, refactorable number.

377[edit]

377 = 13 × 29, Fibonacci number, a Lucas and Fibonacci pseudoprime, the sum of the squares of the first six primes, a common approximation for the impedance of free space in ohms.

378[edit]

378 = 2 × 33 × 7, triangular number, hexagonal number, Smith number, Harshad number, self number.

379[edit]

379 is a prime number, Chen prime, and a happy number in base 10.

380s[edit]

380[edit]

380 = 22 × 5 × 19, pronic number.

381[edit]

381 = 3 × 127, sum of the first sixteen primes. Palindrome in base 2 and base 8.

Represents the term "I Love You", (3) words, (8) letters, (1) meaning.

382[edit]

382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.

383[edit]

383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime.

384[edit]

384 has its own article

385[edit]

385 = 5 × 7 × 11, sphenic number, square pyramidal number, the number of integer partitions of 18.

386[edit]

386 = 2 × 193, Nontotient, noncototient, nonagonal number, centered heptagonal number,

386 is also shorthand for the Intel 80386 microprocessor chip. 386 generation refers to South Koreans, especially politicians, born in the '60s (ko:386 세대).

387[edit]

387 = 32 × 43, also shorthand for the Intel 80387, math coprocessor chip to the 386.

388[edit]

388 = 22 × 97

389[edit]

389, prime number, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, self number, strictly non-palindromic number. Smallest conductor of a rank 2 Elliptic curve.

Also, 389 equals the displacement in cubic inches of the famous Pontiac GTO V-8 engine of 1964–66. The port number for LDAP, and the name for the Fedora Directory Server project.

390s[edit]

390[edit]

390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient,

System/390 is a computing architecture from IBM.

391[edit]

391 = 17 × 23, Smith number, centered pentagonal number.

392[edit]

392 = 23 × 72, Harshad number.

393[edit]

393 = 3 × 131, Mertens function returns 0.

394[edit]

394 = 2 × 197, a Schroder number, Nontotient, noncototient.

395[edit]

395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89).

396[edit]

396 = 22 × 32 × 11, sum of a twin prime (197 + 199), totient sum of the first 36 integers, refactorable number, Harshad number, digit-reassembly number.

396 also refers to the displacement in cubic inches of early Chevrolet Big-Block engines.

397[edit]

397, prime number, cuban prime, centered hexagonal number.

398[edit]

398 = 2 × 199, Nontotient.

399[edit]

399 = 3 × 7 × 19, sphenic number, smallest Lucas–Carmichael number, Harshad number.

References[edit]

  1. ^ Brady Haran. "Why do YouTube views freeze at 301?". Jun 22, 2012. Numberphile. Retrieved 19 February 2013.