363 (number)

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Cardinal 363
three hundred [and] sixty-three
Ordinal 363rd
three hundred [and] sixty-third
Factorization  3 \cdot 11^2
Divisors 1, 3, 11, 33, 121,363
Roman numeral CCCLXIII
Prefixes N/A
Binary 101101011
Octal 553
Duodecimal 263
Hexadecimal 16B

363, three hundred [and] sixty three, is the integer after 362 and before 364.

[edit] In mathematics

  • 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59)
  • It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (112).
  • The 363rd day in a year is 29 December (28 December in leap years). Many places are open 363 days of the year.
  • 363 is a palindromic number in bases 3, 10, 11 and 32.
  • Any subset of its digits is divisible by three.
  • 363 is a repdigit (BB) in base 32.
  • 363 is a 122-gonal number.
  • 363 is a deficient number.
  • The Mertens function returns 0
  • 363 is the sum of 5 consecutive powers of three (3 + 9 + 27 + 81 + 243) deficient number.
  • 363 cubits is the solution given to Rhind Mathematical Papyrus question 50 - find the side length of an octagon with the same area as a circle 9 khet in diameter [1].
  • 363 can be expressed as the sum of three squares 4 different ways: 112 + 112 + 112, 52 + 72 + 172, 12 + 12 + 192, and 132 + 132 + 52.

[edit] In other fields

[edit] Products

  • The 363 is model of mid-size cruiser.
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