363 (number) - in Mathematics

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 .
• 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.