317260320 has 144 divisors (see below), whose sum is σ = 1082434752. Its totient is φ = 78074880.

The previous prime is 317260289. The next prime is 317260331. The reversal of 317260320 is 23062713.

317260320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×317260320² = 201308221293004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79165 + ... + 83075.

It is an arithmetic number, because the mean of its divisors is an integer number (7516908).

Almost surely, 2^317260320 is an apocalyptic number.

317260320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541217376).

317260320 is an abundant number, since it is smaller than the sum of its proper divisors (765174432).

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

317260320 is a wasteful number, since it uses less digits than its factorization.

317260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 317260320 is about 17811.8028284618. The cubic root of 317260320 is about 682.0327868128.

The spelling of 317260320 in words is "three hundred seventeen million, two hundred sixty thousand, three hundred twenty".