312543040 has 56 divisors (see below), whose sum is σ = 749103912. Its totient is φ = 124200960.

The previous prime is 312542987. The next prime is 312543047. The reversal of 312543040 is 40345213.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 310605376 = 1392^2 + 17624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312543047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47130 + ... + 53350.

Almost surely, 2^312543040 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 312543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374551956).

312543040 is an abundant number, since it is smaller than the sum of its proper divisors (436560872).

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

312543040 is a wasteful number, since it uses less digits than its factorization.

312543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 312543040 is about 17678.8868427851. The cubic root of 312543040 is about 678.6355569944.

Adding to 312543040 its reverse (40345213), we get a palindrome (352888253).

The spelling of 312543040 in words is "three hundred twelve million, five hundred forty-three thousand, forty".