312514938 has 48 divisors (see below), whose sum is σ = 721633536. Its totient is φ = 97516320.

The previous prime is 312514931. The next prime is 312514957. The reversal of 312514938 is 839415213.

It is not an unprimeable number, because it can be changed into a prime (312514931) 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 23 ways as a sum of consecutive naturals, for example, 11428 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (15034032).

Almost surely, 2^312514938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312514938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360816768).

312514938 is an abundant number, since it is smaller than the sum of its proper divisors (409118598).

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

312514938 is a wasteful number, since it uses less digits than its factorization.

312514938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16139 (or 16136 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 312514938 is about 17678.0920350585. The cubic root of 312514938 is about 678.6152167685.

The spelling of 312514938 in words is "three hundred twelve million, five hundred fourteen thousand, nine hundred thirty-eight".