314122304 has 56 divisors (see below), whose sum is σ = 646587480. Its totient is φ = 151289856.

The previous prime is 314122297. The next prime is 314122309. The reversal of 314122304 is 403221413.

It can be written as a sum of positive squares in 4 ways, for example, as 111344704 + 202777600 = 10552^2 + 14240^2 .

It is not an unprimeable number, because it can be changed into a prime (314122309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257504 + ... + 258720.

It is an arithmetic number, because the mean of its divisors is an integer number (11546205).

Almost surely, 2^314122304 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 314122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323293740).

314122304 is an abundant number, since it is smaller than the sum of its proper divisors (332465176).

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

314122304 is a wasteful number, since it uses less digits than its factorization.

314122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314122304 is about 17723.4958176992. The cubic root of 314122304 is about 679.7766740681.

Adding to 314122304 its reverse (403221413), we get a palindrome (717343717).

The spelling of 314122304 in words is "three hundred fourteen million, one hundred twenty-two thousand, three hundred four".