313234400 has 72 divisors (see below), whose sum is σ = 770044464. Its totient is φ = 124416000.

The previous prime is 313234393. The next prime is 313234409. The reversal of 313234400 is 4432313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313234409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119504 + ... + 122096.

It is an arithmetic number, because the mean of its divisors is an integer number (10695062).

Almost surely, 2^313234400 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 313234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385022232).

313234400 is an abundant number, since it is smaller than the sum of its proper divisors (456810064).

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

313234400 is a wasteful number, since it uses less digits than its factorization.

313234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 313234400 is about 17698.4293088398. The cubic root of 313234400 is about 679.1355798100.

Adding to 313234400 its reverse (4432313), we get a palindrome (317666713).

The spelling of 313234400 in words is "three hundred thirteen million, two hundred thirty-four thousand, four hundred".