314304 has 28 divisors (see below), whose sum is σ = 832104. Its totient is φ = 104704.

The previous prime is 314299. The next prime is 314329. The reversal of 314304 is 403413.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314304.

It is an unprimeable number.

314304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2³¹⁴³⁰⁴ is an apocalyptic number.

It is an amenable number.

314304 is an abundant number, since it is smaller than the sum of its proper divisors (517800).

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

314304 is a wasteful number, since it uses less digits than its factorization.

314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 314304 is about 560.6282190543. The cubic root of 314304 is about 67.9907715273.

Adding to 314304 its reverse (403413), we get a palindrome (717717).

The spelling of 314304 in words is "three hundred fourteen thousand, three hundred four", and thus it is an iban number.