313412144 has 40 divisors (see below), whose sum is σ = 649712880. Its totient is φ = 146016000.

The previous prime is 313412123. The next prime is 313412149. The reversal of 313412144 is 441214313.

It is not an unprimeable number, because it can be changed into a prime (313412149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10094 + ... + 26994.

It is an arithmetic number, because the mean of its divisors is an integer number (16242822).

Almost surely, 2^313412144 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 313412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324856440).

313412144 is an abundant number, since it is smaller than the sum of its proper divisors (336300736).

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

313412144 is a wasteful number, since it uses less digits than its factorization.

313412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16983 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 313412144 is about 17703.4500592399. The cubic root of 313412144 is about 679.2640133932.

Adding to 313412144 its reverse (441214313), we get a palindrome (754626457).

The spelling of 313412144 in words is "three hundred thirteen million, four hundred twelve thousand, one hundred forty-four".