313324000 has 96 divisors (see below), whose sum is σ = 839940192. Its totient is φ = 113920000.

The previous prime is 313323973. The next prime is 313324001. The reversal of 313324000 is 423313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313324001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40440 + ... + 47560.

It is an arithmetic number, because the mean of its divisors is an integer number (8749377).

Almost surely, 2^313324000 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 313324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419970096).

313324000 is an abundant number, since it is smaller than the sum of its proper divisors (526616192).

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

313324000 is a wasteful number, since it uses less digits than its factorization.

313324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 313324000 is about 17700.9604259204. The cubic root of 313324000 is about 679.2003287082.

Adding to 313324000 its reverse (423313), we get a palindrome (313747313).

The spelling of 313324000 in words is "three hundred thirteen million, three hundred twenty-four thousand".