314376084 has 72 divisors (see below), whose sum is σ = 894915840. Its totient is φ = 92188800.

The previous prime is 314376061. The next prime is 314376133. The reversal of 314376084 is 480673413.

314376084 is a `hidden beast` number, since 3 + 1 + 43 + 7 + 608 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529 + ... + 25080.

Almost surely, 2^314376084 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 314376084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447457920).

314376084 is an abundant number, since it is smaller than the sum of its proper divisors (580539756).

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

314376084 is a wasteful number, since it uses less digits than its factorization.

314376084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25661 (or 25656 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314376084 is about 17730.6537950522. The cubic root of 314376084 is about 679.9596890752.

The spelling of 314376084 in words is "three hundred fourteen million, three hundred seventy-six thousand, eighty-four".