312029984 has 48 divisors (see below), whose sum is σ = 703479168. Its totient is φ = 133458432.

The previous prime is 312029969. The next prime is 312030001. The reversal of 312029984 is 489920213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143852 + ... + 146004.

It is an arithmetic number, because the mean of its divisors is an integer number (14655816).

Almost surely, 2^312029984 is an apocalyptic number.

It is an amenable number.

312029984 is an abundant number, since it is smaller than the sum of its proper divisors (391449184).

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

312029984 is a wasteful number, since it uses less digits than its factorization.

312029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 312029984 is about 17664.3704671296. The cubic root of 312029984 is about 678.2640148479.

The spelling of 312029984 in words is "three hundred twelve million, twenty-nine thousand, nine hundred eighty-four".