312686052 has 72 divisors (see below), whose sum is σ = 861495264. Its totient is φ = 87994368.

The previous prime is 312686051. The next prime is 312686053. The reversal of 312686052 is 250686213.

312686052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312686051) and next prime (312686053).

It is not an unprimeable number, because it can be changed into a prime (312686051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35428 + ... + 43364.

It is an arithmetic number, because the mean of its divisors is an integer number (11965212).

Almost surely, 2^312686052 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 312686052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430747632).

312686052 is an abundant number, since it is smaller than the sum of its proper divisors (548809212).

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

312686052 is a wasteful number, since it uses less digits than its factorization.

312686052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 312686052 is about 17682.9310918750. The cubic root of 312686052 is about 678.7390501847.

The spelling of 312686052 in words is "three hundred twelve million, six hundred eighty-six thousand, fifty-two".