312321540 has 48 divisors (see below), whose sum is σ = 878169600. Its totient is φ = 82936320.

The previous prime is 312321517. The next prime is 312321553. The reversal of 312321540 is 45123213.

312321540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 25259.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 2^312321540 is an apocalyptic number.

312321540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312321540 is an abundant number, since it is smaller than the sum of its proper divisors (565848060).

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

312321540 is a wasteful number, since it uses less digits than its factorization.

312321540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21852 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 312321540 is about 17672.6211977737. The cubic root of 312321540 is about 678.4752022263.

Adding to 312321540 its reverse (45123213), we get a palindrome (357444753).

The spelling of 312321540 in words is "three hundred twelve million, three hundred twenty-one thousand, five hundred forty".