312081952 has 48 divisors (see below), whose sum is σ = 756205632. Its totient is φ = 123459840.

The previous prime is 312081947. The next prime is 312081953. The reversal of 312081952 is 259180213.

It is not an unprimeable number, because it can be changed into a prime (312081953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50674 + ... + 56497.

It is an arithmetic number, because the mean of its divisors is an integer number (15754284).

Almost surely, 2^312081952 is an apocalyptic number.

312081952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312081952 is an abundant number, since it is smaller than the sum of its proper divisors (444123680).

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

312081952 is a wasteful number, since it uses less digits than its factorization.

312081952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107201 (or 107193 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 312081952 is about 17665.8413895291. The cubic root of 312081952 is about 678.3016672846.

The spelling of 312081952 in words is "three hundred twelve million, eighty-one thousand, nine hundred fifty-two".