363 (number)

← 362 363 364 ⊟
List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred sixty-three
Ordinal	363rd (three hundred sixty-third)
Factorization	3 × 112
Divisors	1, 3, 11, 33, 121, 363
Greek numeral	ΤΞΓ´
Roman numeral	CCCLXIII
Binary	1011010112
Ternary	1111103
Senary	14036
Octal	5538
Duodecimal	26312
Hexadecimal	16B16

363 (three hundred [and] sixty-three) is the natural number following 362 and preceding 364.

In mathematics

• It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (11²).
• 363 is a deficient number and a perfect totient number.
• 363 is a palindromic number in bases 3, 10, 11 and 32.
• 363 is a repdigit (BB) in base 32.
• The Mertens function returns 0.
• Any subset of its digits is divisible by three.
• 363 is the sum of nine consecutive primes (23 29 31 37 41 43 47 53 59).
• 363 is the sum of five consecutive powers of 3 (3 9 27 81 243).
• 363 can be expressed as the sum of three squares in four different ways: 11² 11² 11², 5² 7² 17², 1² 1² 19², and 13² 13² 5².
• 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].