33280

33280 is a natural number following 33279 and preceding 33281. It is an even, composite number with a straightforward prime factorization and several notable arithmetic properties.

Its prime factorization is 2^9 × 5 × 13, meaning the number is divisible by 2, 4, 8, 16, 32, 64, 128, 256, 512, and combinations with 5 and 13. Consequently, 33280 has 40 positive divisors in total. The sum of all divisors is 85932, which renders 33280 an abundant number, since the sum of its proper divisors (85932 − 33280 = 52652) exceeds the number itself. The abundance index is approximately 2.58.

In terms of representations, 33280 is 10-based decimal. Its hexadecimal representation is 0x8200, and in binary it is 1000001000000000. It is not a prime, not a square, not triangular, and does not belong to several other common special-number categories.

From a structural perspective, 33280 = 512 × 65, highlighting its decomposition into a high power of two and a small odd factor. The number’s factorization also implies a diverse set of divisors, contributing to its abundance and diverse divisor structure within number theory.