312994000 has 160 divisors (see below), whose sum is σ = 848195712. Its totient is φ = 110720000.

The previous prime is 312993893. The next prime is 312994007. The reversal of 312994000 is 499213.

It is a happy number.

312994000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 312994000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312994007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901827 + ... + 902173.

Almost surely, 2^312994000 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 312994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424097856).

312994000 is an abundant number, since it is smaller than the sum of its proper divisors (535201712).

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

312994000 is a wasteful number, since it uses less digits than its factorization.

312994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 312994000 is about 17691.6364421158. The cubic root of 312994000 is about 678.9617951743.

The spelling of 312994000 in words is "three hundred twelve million, nine hundred ninety-four thousand".