314003144 has 64 divisors (see below), whose sum is σ = 728931840. Its totient is φ = 123482880.

The previous prime is 314003113. The next prime is 314003147. The reversal of 314003144 is 441300413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314003147) 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, 130577 + ... + 132959.

It is an arithmetic number, because the mean of its divisors is an integer number (11389560).

Almost surely, 2^314003144 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 314003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364465920).

314003144 is an abundant number, since it is smaller than the sum of its proper divisors (414928696).

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

314003144 is a wasteful number, since it uses less digits than its factorization.

314003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314003144 is about 17720.1338595395. The cubic root of 314003144 is about 679.6907070926.

Adding to 314003144 its reverse (441300413), we get a palindrome (755303557).

The spelling of 314003144 in words is "three hundred fourteen million, three thousand, one hundred forty-four".