314608336 has 120 divisors (see below), whose sum is σ = 748642560. Its totient is φ = 125349120.

The previous prime is 314608321. The next prime is 314608351. The reversal of 314608336 is 633806413.

It is an interprime number because it is at equal distance from previous prime (314608321) and next prime (314608351).

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, 3982345 + ... + 3982423.

It is an arithmetic number, because the mean of its divisors is an integer number (6238688).

Almost surely, 2^314608336 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 314608336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374321280).

314608336 is an abundant number, since it is smaller than the sum of its proper divisors (434034224).

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

314608336 is a wasteful number, since it uses less digits than its factorization.

314608336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 314608336 is about 17737.2020341428. The cubic root of 314608336 is about 680.1270927384.

The spelling of 314608336 in words is "three hundred fourteen million, six hundred eight thousand, three hundred thirty-six".