313134400 has 42 divisors (see below), whose sum is σ = 770510270. Its totient is φ = 125253120.

The previous prime is 313134391. The next prime is 313134403. The reversal of 313134400 is 4431313.

It can be written as a sum of positive squares in 3 ways, for example, as 16192576 + 296941824 = 4024^2 + 17232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313134403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96255 + ... + 99454.

Almost surely, 2^313134400 is an apocalyptic number.

It is an amenable number.

313134400 is an abundant number, since it is smaller than the sum of its proper divisors (457375870).

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

313134400 is a wasteful number, since it uses less digits than its factorization.

313134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195731 (or 195716 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 313134400 is about 17695.6039738688. The cubic root of 313134400 is about 679.0633008326.

Adding to 313134400 its reverse (4431313), we get a palindrome (317565713).

The spelling of 313134400 in words is "three hundred thirteen million, one hundred thirty-four thousand, four hundred".