313030400 has 108 divisors (see below), whose sum is σ = 788881800. Its totient is φ = 122941440.

The previous prime is 313030381. The next prime is 313030441. The reversal of 313030400 is 4030313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377186 + ... + 378014.

Almost surely, 2^313030400 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 313030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394440900).

313030400 is an abundant number, since it is smaller than the sum of its proper divisors (475851400).

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

313030400 is an equidigital number, since it uses as much as digits as its factorization.

313030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313030400 is about 17692.6651468907. The cubic root of 313030400 is about 678.9881143703.

Adding to 313030400 its reverse (4030313), we get a palindrome (317060713).

The spelling of 313030400 in words is "three hundred thirteen million, thirty thousand, four hundred".