314336144 has 20 divisors (see below), whose sum is σ = 609996300. Its totient is φ = 156917760.

The previous prime is 314336131. The next prime is 314336153. The reversal of 314336144 is 441633413.

314336144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129049600 + 185286544 = 11360^2 + 13612^2 .

It is a super-2 number, since 2×314336144² = 197614422849577472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5069 + ... + 25580.

It is an arithmetic number, because the mean of its divisors is an integer number (30499815).

Almost surely, 2^314336144 is an apocalyptic number.

It is an amenable number.

314336144 is a deficient number, since it is larger than the sum of its proper divisors (295660156).

314336144 is a wasteful number, since it uses less digits than its factorization.

314336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31298 (or 31292 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 314336144 is about 17729.5274612721. The cubic root of 314336144 is about 679.9308926309.

Adding to 314336144 its reverse (441633413), we get a palindrome (755969557).

The spelling of 314336144 in words is "three hundred fourteen million, three hundred thirty-six thousand, one hundred forty-four".