312346540 has 48 divisors (see below), whose sum is σ = 722693664. Its totient is φ = 112448000.

The previous prime is 312346477. The next prime is 312346549. The reversal of 312346540 is 45643213.

It is a super-2 number, since 2×312346540² = 195120722099943200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 312346499 and 312346508.

It is not an unprimeable number, because it can be changed into a prime (312346549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15192 + ... + 29248.

It is an arithmetic number, because the mean of its divisors is an integer number (15056118).

Almost surely, 2^312346540 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 312346540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361346832).

312346540 is an abundant number, since it is smaller than the sum of its proper divisors (410347124).

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

312346540 is a wasteful number, since it uses less digits than its factorization.

312346540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 312346540 is about 17673.3284923921. The cubic root of 312346540 is about 678.4933047535.

Adding to 312346540 its reverse (45643213), we get a palindrome (357989753).

The spelling of 312346540 in words is "three hundred twelve million, three hundred forty-six thousand, five hundred forty".