312132304 has 80 divisors (see below), whose sum is σ = 717096960. Its totient is φ = 130032000.

The previous prime is 312132299. The next prime is 312132341. The reversal of 312132304 is 403231213.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102159 + ... + 105169.

It is an arithmetic number, because the mean of its divisors is an integer number (8963712).

Almost surely, 2^312132304 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 312132304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358548480).

312132304 is an abundant number, since it is smaller than the sum of its proper divisors (404964656).

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

312132304 is a wasteful number, since it uses less digits than its factorization.

312132304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 312132304 is about 17667.2664552273. The cubic root of 312132304 is about 678.3381448921.

Adding to 312132304 its reverse (403231213), we get a palindrome (715363517).

The spelling of 312132304 in words is "three hundred twelve million, one hundred thirty-two thousand, three hundred four".