313240144 has 30 divisors (see below), whose sum is σ = 705990714. Its totient is φ = 134245440.

The previous prime is 313240141. The next prime is 313240157. The reversal of 313240144 is 441042313.

313240144 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 only one way, i.e., 296528400 + 16711744 = 17220^2 + 4088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313240141) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 198987 + ... + 200554.

Almost surely, 2^313240144 is an apocalyptic number.

It is an amenable number.

313240144 is an abundant number, since it is smaller than the sum of its proper divisors (392750570).

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

313240144 is a wasteful number, since it uses less digits than its factorization.

313240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399563 (or 399550 counting only the distinct ones).

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

The square root of 313240144 is about 17698.5915823830. The cubic root of 313240144 is about 679.1397310473.

Adding to 313240144 its reverse (441042313), we get a palindrome (754282457).

The spelling of 313240144 in words is "three hundred thirteen million, two hundred forty thousand, one hundred forty-four".