264

264 is the natural number that follows 263 and precedes 265. In mathematics, it is an even composite integer with prime factorization 264 = 2^3 · 3 · 11. It has 16 positive divisors. The sum of all divisors is 720, so the sum of proper divisors is 456, which makes 264 an abundant number. The Euler totient φ(264) equals 80, and 264 is a Harshad number in base 10 because it is divisible by the sum of its digits (2 + 6 + 4 = 12, and 264 ÷ 12 = 22).

In various numeral systems, 264 is represented as follows: in binary it is 100001000, in octal it is 410, and in hexadecimal it is 0x108. In Roman numerals, 264 is written as CCLXIV. The number is divisible by 8, 3, and 11, reflecting its factorization as 2^3 · 3 · 11. It is not a prime, not a perfect square, and not a triangular number (the nearest triangular numbers are 253 and 276).

Beyond pure mathematics, 264 is used as a numeric designation in catalogs, product codes, and infrastructure identifiers, and it may appear as a year designation (AD 264) in historical contexts. As a relatively small even integer with several small prime factors, it serves as a typical example of a composite number with a rich set of divisors and base-representation forms.