313162320 has 160 divisors (see below), whose sum is σ = 999936000. Its totient is φ = 81050112.

The previous prime is 313162307. The next prime is 313162331. The reversal of 313162320 is 23261313.

It is a super-3 number, since 3×313162320³ (a number of 26 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1573581 + ... + 1573779.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2^313162320 is an apocalyptic number.

313162320 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 313162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

313162320 is an abundant number, since it is smaller than the sum of its proper divisors (686773680).

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

313162320 is a wasteful number, since it uses less digits than its factorization.

313162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 313162320 is about 17696.3928527822. The cubic root of 313162320 is about 679.0834826713.

The spelling of 313162320 in words is "three hundred thirteen million, one hundred sixty-two thousand, three hundred twenty".