312468032 has 56 divisors (see below), whose sum is σ = 642372096. Its totient is φ = 150709248.

The previous prime is 312467983. The next prime is 312468059. The reversal of 312468032 is 230864213.

It is a junction number, because it is equal to n+sod(n) for n = 312467986 and 312468004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 218873 + ... + 220295.

Almost surely, 2^312468032 is an apocalyptic number.

312468032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321186048).

312468032 is an abundant number, since it is smaller than the sum of its proper divisors (329904064).

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

312468032 is a wasteful number, since it uses less digits than its factorization.

312468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 312468032 is about 17676.7653149551. The cubic root of 312468032 is about 678.5812634923.

The spelling of 312468032 in words is "three hundred twelve million, four hundred sixty-eight thousand, thirty-two".