312316704 has 288 divisors, whose sum is σ = 1075576320. Its totient is φ = 84105216.

The previous prime is 312316691. The next prime is 312316709. The reversal of 312316704 is 407613213.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312316709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3953337 + ... + 3953415.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^312316704 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 312316704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

312316704 is an abundant number, since it is smaller than the sum of its proper divisors (763259616).

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

312316704 is a wasteful number, since it uses less digits than its factorization.

312316704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 312316704 is about 17672.4843754352. The cubic root of 312316704 is about 678.4717003619.

Adding to 312316704 its reverse (407613213), we get a palindrome (719929917).

The spelling of 312316704 in words is "three hundred twelve million, three hundred sixteen thousand, seven hundred four".