312309920 has 96 divisors (see below), whose sum is σ = 809866512. Its totient is φ = 113098752.

The previous prime is 312309919. The next prime is 312309923. The reversal of 312309920 is 29903213.

It can be written as a sum of positive squares in 8 ways, for example, as 93624976 + 218684944 = 9676^2 + 14788^2 .

It is a super-2 number, since 2×312309920² = 195074972260812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312309923) by changing a digit.

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, 108824 + ... + 111656.

Almost surely, 2^312309920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404933256).

312309920 is an abundant number, since it is smaller than the sum of its proper divisors (497556592).

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

312309920 is a wasteful number, since it uses less digits than its factorization.

312309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 312309920 is about 17672.2924375985. The cubic root of 312309920 is about 678.4667878428.

The spelling of 312309920 in words is "three hundred twelve million, three hundred nine thousand, nine hundred twenty".