312442032 has 120 divisors (see below), whose sum is σ = 952653312. Its totient is φ = 87964800.

The previous prime is 312442021. The next prime is 312442043. The reversal of 312442032 is 230244213.

It is an interprime number because it is at equal distance from previous prime (312442021) and next prime (312442043).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166057 + ... + 167927.

Almost surely, 2^312442032 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 312442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).

312442032 is an abundant number, since it is smaller than the sum of its proper divisors (640211280).

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

312442032 is a wasteful number, since it uses less digits than its factorization.

312442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 312442032 is about 17676.0298709863. The cubic root of 312442032 is about 678.5624417245.

Adding to 312442032 its reverse (230244213), we get a palindrome (542686245).

The spelling of 312442032 in words is "three hundred twelve million, four hundred forty-two thousand, thirty-two".