313731920 has 20 divisors (see below), whose sum is σ = 729426900. Its totient is φ = 125492736.

The previous prime is 313731919. The next prime is 313731941. The reversal of 313731920 is 29137313.

It can be written as a sum of positive squares in 2 ways, for example, as 103713856 + 210018064 = 10184^2 + 14492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1960745 + ... + 1960904.

It is an arithmetic number, because the mean of its divisors is an integer number (36471345).

Almost surely, 2^313731920 is an apocalyptic number.

It is an amenable number.

313731920 is an abundant number, since it is smaller than the sum of its proper divisors (415694980).

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

313731920 is a wasteful number, since it uses less digits than its factorization.

313731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921662 (or 3921656 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 313731920 is about 17712.4792166427. The cubic root of 313731920 is about 679.4949537071.

The spelling of 313731920 in words is "three hundred thirteen million, seven hundred thirty-one thousand, nine hundred twenty".