314334400 has 42 divisors (see below), whose sum is σ = 773463020. Its totient is φ = 125733120.

The previous prime is 314334379. The next prime is 314334401. The reversal of 314334400 is 4433413.

It is a super-2 number, since 2×314334400² = 197612230046720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96630 + ... + 99829.

Almost surely, 2^314334400 is an apocalyptic number.

It is an amenable number.

314334400 is an abundant number, since it is smaller than the sum of its proper divisors (459128620).

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

314334400 is a wasteful number, since it uses less digits than its factorization.

314334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196481 (or 196466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 314334400 is about 17729.4782777159. The cubic root of 314334400 is about 679.9296351643.

Adding to 314334400 its reverse (4433413), we get a palindrome (318767813).

The spelling of 314334400 in words is "three hundred fourteen million, three hundred thirty-four thousand, four hundred".