312419345 has 24 divisors (see below), whose sum is σ = 438393384. Its totient is φ = 213110016.

The previous prime is 312419311. The next prime is 312419347. The reversal of 312419345 is 543914213.

It can be written as a sum of positive squares in 4 ways, for example, as 64577296 + 247842049 = 8036^2 + 15743^2 .

It is not a de Polignac number, because 312419345 - 2⁸ = 312419089 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312419347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45029 + ... + 51501.

It is an arithmetic number, because the mean of its divisors is an integer number (18266391).

Almost surely, 2^312419345 is an apocalyptic number.

312419345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312419345 is a deficient number, since it is larger than the sum of its proper divisors (125974039).

312419345 is a wasteful number, since it uses less digits than its factorization.

312419345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6682 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 312419345 is about 17675.3881145507. The cubic root of 312419345 is about 678.5460174312.

The spelling of 312419345 in words is "three hundred twelve million, four hundred nineteen thousand, three hundred forty-five".