300 (number)
- This article is about the number 300. For other uses, see 300 (disambiguation). For the year, see 300.
300 (three hundred) is the natural number following two hundred [and] ninety-nine and preceding three hundred [and] one.
| Template:Numbers 0-1000 | |
| Cardinal | 300 three hundred |
| Ordinal | 300th three hundredth |
| Factorization | |
| Roman numeral | CCC |
| Roman numeral (Unicode) | CCC, ccc |
| Binary | 100101100 |
| Octal | 454 |
| Duodecimal | 210 |
| Hexadecimal | 12C |
| Hebrew | ש (Shin) |
Mathematical properties
It is a triangular number and the sum of a twin prime (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is a Harshad number.
Other fields
Three hundred is
- In bowling, a perfect score, achieved by rolling strikes in all ten frames.
- The lowest possible Fair Isaac credit score.
Integers from 301 to 399
301 = 7·43, is the sum of three consecutive primes (97 + 101 + 103). Moreover, it is a happy number. It's also a HTTP status code, indicating the content has been moved and the change is permanent. It's the North American Numbering Plan area code for Maryland.
302 = 2·151, nontotient, also telephone area code for Delaware, also a HTTP status code indicating the content has been moved. Also the displacement of Ford's "5.0" V8.
303 = 3·101, also telephone area code for parts of Colorado, also a proposed HTTP status code.
304 = 2^4·19, 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, telephone area code for West Virginia, a HTTP code indicated the content has not been modified and record number of wickets taken in English cricket season by Tich Freeman in 1928.
305 = 5·61, also telephone area code for parts of Florida.
306 = 2·3^2·17, sum of four consecutive primes (71 + 73 + 79 + 83), pronic number, Harshad number, untouchable number, also telephone area code for Saskatchewan.
307, prime number, Chen prime, also telephone area code for Wyoming.
308 = 2^2·7·11, nontotient, totient sum of the first 31 integers, Harshad number.
309 = 3·103
310s
310 = 2·5·31, sphenic number, noncototient, self number.
311 has its own article.
312 = 2^3·3·13, Harshad number, self number, Zuckerman number. Telephone area code for Bishkek, Kyrgyzstan and parts of central Chicago.
313, prime number, palindromic prime, centered square number, also telephone area code for Detroit, Michigan.
314 = 2·157, nontotient, telephone area code for St. Louis, Missouri.
315 = 3^2·5·7, Harshad number, Zuckerman number.
316 = 2^2·79, centered triangular number, centered heptagonal number.
317, prime number, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number.
318 = 2·3·53, sphenic number, nontotient.
319 = 11·29, sum of three consecutive primes (103 + 107 + 109), Smith number. 319 cannot be represented as the sum of fewer than 19 4th powers.
320s
320 = 2^6·5 = (2^5)·(2·5), Leyland number, maximum determinant of a 10 by 10 matrix of zeros and ones, Harshad number.
321 = 3·107
322 = 2·7·23, sphenic number, nontotient, Harshad number, untouchable number. Also seen as a Skull and Bones reference of power
323 = 17·19, sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Motzkin number, self number.
324 = 2^2·3^4 = 18^2, sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, untouchable number, Harshad number.
325 = 5^2·13, 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: 1^2 + 18^2 , 6^2 + 17^2 and 10^2 + 15^2.
326 = 2·163, nontotient, noncototient, untouchable number.
327 = 3·109; this number appears in all Star Wars movies.
328 = 2^3·41, sum of the first fifteen primes, refactorable number.
329 = 7·47, sum of three consecutive primes (107 + 109 + 113), highly cototient number.
330s
330 = 2·3·5·11, sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number, Harshad number, divisible by the number of primes below it, also the number of dimples on a British golf ball.
331, prime number, cuban prime, sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number, centered hexagonal number, Mertens function returns 0.
332 = 2^2·83, Mertens function returns 0.
333 = 3^2·37, Mertens function returns 0, Harshad number.
334 = 2·167, nontotient, self number.
335 = 5·67, divisible by the number of primes below it.
336 = 2^4·3·7, Harshad number, untouchable number, also the number of dimples on an American golf ball.
337, prime number, permutable prime with 373 and 733, Chen prime, star number, AFI (a fire inside) Clandestine mystery number.
338 = 2·13^2, nontotient.
339 = 3·113
340s
340 = 2^2·5·17, 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 (4^1 + 4^2 + 4^3 + 4^4), divisible by the number of primes below it, nontotient, noncototient.
341 = 11·31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number, centered cube number, super-Poulet number. 341 = 11·31 is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "b^(m-1) - 1 is divisible by m", for bases less than 100 of b = 2, 15, 60, 63 and 78.
342 = 2·3^2·19, pronic number, Harshad number, untouchable number.
343 = 7^3, nice Friedman number since 343 = (3 + 4)^3. It is z in a triplet (x,y,z) such that x^5 + y^2 = z^3. The number of New York City Firefighters who died September 11, 2001.
344 = 2^3·43, octahedral number, noncototient, totient sum of the first 33 integers, refactorable number.
345 = 3·5·23, sphenic number, self number.
346 = 2·173, Smith number, noncototient.
347, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, Friedman number since 347 = 7^3 + 4, strictly non-palindromic number.
348 = 2^2·3·29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.
349, prime number, sum of three consecutive primes (109 + 113 + 127).
350s
350 = 2·5^2·7, primitive semiperfect number, divisible by the number of primes below it, nontotient.
351 = 3^3·13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence, Harshad number.
352 = 2^5·11, the number of n-Queens Problem solutions for n = 9.
353, prime number, Eisenstein prime with no imaginary part, Chen prime, palindromic prime, Mertens function returns 0. 353 is the smallest 4th power that is the sum of 4 other 4th powers, discovered by Norrie in 1911: 353^4 = 30^4 + 120^4 + 272^4 + 215^4.
354 = 2·3·59, sphenic number, nontotient, also SMTP code meaning start of mail input.
355 = 5·71, Smith number, Mertens function returns 0, divisible by the number of primes below it.
356 = 2^2·89, Mertens function returns 0, self number.
357 = 3·7·17, sphenic number.
358 = 2·179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0.
359, prime number, safe prime, Eisenstein prime with no imaginary part, Chen prime, strictly non-palindromic number.
360s
360 has its own article.
361 = 19^2, centered triangular number, centered octagonal number, centered decagonal number, also the number of positions on a standard 19 x 19 Go board.
362 = 2·181, Mertens function returns 0, nontotient, noncototient.
363 = 3·11^2, sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Mertens function returns 0.
364 = 2^2·7·13, tetrahedral number, 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 = 5·73 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2, centered square number, the approximate number of solar days in a tropical year. Several varieties of calendar have resulted from attempts to divide the 29.5-day lunar month and traditional 7-day week into the 365.25 day year.
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, prime number, self number, strictly non-palindromic number.
368 = 2^4·23, Leyland number.
369 is the magic constant of the 9×9 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
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.
371 = 7·53, Armstrong number since 3^3 + 7^3 + 1^3 = 371, 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 the OEIS), the next such composite number is 2935561623745.
372 = 2^2·3·31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Harshad number, noncototient, untouchable number, refactorable number.
373, prime number, balanced prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime.
374 = 2·11·17, sphenic number, nontotient.
375 = 3·5^3, Harshad number, also spur routes of Interstate 75 in the United States.
376 = 2^3·47, 1-automorphic number, nontotient, refactorable number.
377 = 13·29, Fibonacci number, sum of the squares of the first six primes.
378 = 2·3^3·7, triangular number, hexagonal number, Smith number, Harshad number, self number.
379, prime number, Chen prime.
380s
380 = 2^2·5·19, pronic number, also, model number of the Airbus A380, the largest aircraft as of 2005.
381 = 3·127, sum of the first sixteen primes. Palindrome in base 2 and base 8.
382 = 2·191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.
383, prime number, safe prime, Woodall prime, Thabit number, Eisenstein prime with no imaginary part, palindromic prime.
384 = 2^7·3, sum of a twin prime (191 + 193), sum of six consecutive primes (53 + 59 + 61 + 67 + 71 + 73), double factorial of 8, sum of the totient sums of the first 35 integers, refactorable number, Zuckerman number.
385 = 5·7·11, sphenic number, square pyramidal number.
386 = 2·193, nontotient, noncototient, nonagonal number, centered heptagonal number, also shorthand for the Intel 80386 microprocessor chip.
387 = 3^2·43, also shorthand for the Intel 80387, math coprocessor chip to the 386.
388 = 2^2·97
389, prime number, Eisenstein prime with no imaginary part, Chen prime, highly cototient number, self number, strictly non-palindromic number.
390s
390 = 2·3·5·13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient.
391 = 17·23, Smith number, centered pentagonal number.
392 = 2^3·7^2, Harshad number.
393 = 3·131, Mertens function returns 0.
394 = 2·197, nontotient, noncototient.
395 = 5·79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89).
396 = 2^2·3^2·11, sum of a twin prime (197 + 199), totient sum of the first 36 integers, refactorable number, Harshad number.
397, prime number, cuban prime, centered hexagonal number.
398 = 2·199, nontotient.
399 = 3·7·19, sphenic number, Harshad number.