313973280 has 96 divisors (see below), whose sum is σ = 1098921600. Its totient is φ = 83725056.

The previous prime is 313973269. The next prime is 313973291. The reversal of 313973280 is 82379313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313973269) and next prime (313973291).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32020 + ... + 40659.

It is an arithmetic number, because the mean of its divisors is an integer number (11447100).

Almost surely, 2^313973280 is an apocalyptic number.

313973280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313973280 is an abundant number, since it is smaller than the sum of its proper divisors (784948320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313973280 is a wasteful number, since it uses less digits than its factorization.

313973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72703 (or 72689 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 313973280 is about 17719.2911822116. The cubic root of 313973280 is about 679.6691585538.

The spelling of 313973280 in words is "three hundred thirteen million, nine hundred seventy-three thousand, two hundred eighty".