313144000 has 112 divisors (see below), whose sum is σ = 835432416. Its totient is φ = 115584000.

The previous prime is 313143983. The next prime is 313144021. The reversal of 313144000 is 441313.

313144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 102495 + ... + 105505.

It is an arithmetic number, because the mean of its divisors is an integer number (7459218).

Almost surely, 2^313144000 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 313144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417716208).

313144000 is an abundant number, since it is smaller than the sum of its proper divisors (522288416).

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

313144000 is a wasteful number, since it uses less digits than its factorization.

313144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313144000 is about 17695.8752255999. The cubic root of 313144000 is about 679.0702402821.

Adding to 313144000 its reverse (441313), we get a palindrome (313585313).

The spelling of 313144000 in words is "three hundred thirteen million, one hundred forty-four thousand".