314742304 has 36 divisors (see below), whose sum is σ = 647796366. Its totient is φ = 150520832.

The previous prime is 314742299. The next prime is 314742331. The reversal of 314742304 is 403247413.

314742304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 259210000 + 55532304 = 16100^2 + 7452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7632 + ... + 26224.

Almost surely, 2^314742304 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 314742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323898183).

314742304 is an abundant number, since it is smaller than the sum of its proper divisors (333054062).

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

314742304 is a wasteful number, since it uses less digits than its factorization.

314742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 314742304 is about 17740.9781015591. The cubic root of 314742304 is about 680.2236173437.

Adding to 314742304 its reverse (403247413), we get a palindrome (717989717).

It can be divided in two parts, 3147 and 42304, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 314742304 in words is "three hundred fourteen million, seven hundred forty-two thousand, three hundred four".