314230144 has 32 divisors (see below), whose sum is σ = 629331840. Its totient is φ = 156280320.

The previous prime is 314230129. The next prime is 314230181. The reversal of 314230144 is 441032413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18022 + ... + 30874.

It is an arithmetic number, because the mean of its divisors is an integer number (19666620).

Almost surely, 2^314230144 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 314230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314665920).

314230144 is an abundant number, since it is smaller than the sum of its proper divisors (315101696).

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

314230144 is a wasteful number, since it uses less digits than its factorization.

314230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058 (or 13046 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314230144 is about 17726.5378458401. The cubic root of 314230144 is about 679.8544555864.

Adding to 314230144 its reverse (441032413), we get a palindrome (755262557).

The spelling of 314230144 in words is "three hundred fourteen million, two hundred thirty thousand, one hundred forty-four".