312014144 has 28 divisors (see below), whose sum is σ = 666782004. Its totient is φ = 144006144.

The previous prime is 312014117. The next prime is 312014147. The reversal of 312014144 is 441410213.

It can be written as a sum of positive squares in 2 ways, for example, as 165894400 + 146119744 = 12880^2 + 12088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312014147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186677 + ... + 188340.

It is an arithmetic number, because the mean of its divisors is an integer number (23813643).

Almost surely, 2^312014144 is an apocalyptic number.

It is an amenable number.

312014144 is an abundant number, since it is smaller than the sum of its proper divisors (354767860).

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

312014144 is a wasteful number, since it uses less digits than its factorization.

312014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375042 (or 375032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 312014144 is about 17663.9221012775. The cubic root of 312014144 is about 678.2525374425.

Adding to 312014144 its reverse (441410213), we get a palindrome (753424357).

The spelling of 312014144 in words is "three hundred twelve million, fourteen thousand, one hundred forty-four".