312714000 has 160 divisors (see below), whose sum is σ = 1120404480. Its totient is φ = 83376000.

The previous prime is 312713987. The next prime is 312714007. The reversal of 312714000 is 417213.

312714000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312714007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51105 + ... + 56895.

It is an arithmetic number, because the mean of its divisors is an integer number (7002528).

Almost surely, 2^312714000 is an apocalyptic number.

312714000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560202240).

312714000 is an abundant number, since it is smaller than the sum of its proper divisors (807690480).

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

312714000 is a wasteful number, since it uses less digits than its factorization.

312714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 312714000 is about 17683.7213278201. The cubic root of 312714000 is about 678.7592715684.

The spelling of 312714000 in words is "three hundred twelve million, seven hundred fourteen thousand".