312513432 has 128 divisors (see below), whose sum is σ = 979292160. Its totient is φ = 80737920.

The previous prime is 312513391. The next prime is 312513451. The reversal of 312513432 is 234315213.

312513432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 485703 + ... + 486345.

It is an arithmetic number, because the mean of its divisors is an integer number (7650720).

Almost surely, 2^312513432 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 312513432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489646080).

312513432 is an abundant number, since it is smaller than the sum of its proper divisors (666778728).

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

312513432 is a wasteful number, since it uses less digits than its factorization.

312513432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 312513432 is about 17678.0494399128. The cubic root of 312513432 is about 678.6141266914.

Adding to 312513432 its reverse (234315213), we get a palindrome (546828645).

The spelling of 312513432 in words is "three hundred twelve million, five hundred thirteen thousand, four hundred thirty-two".