313402419 has 32 divisors (see below), whose sum is σ = 508135680. Its totient is φ = 189331200.

The previous prime is 313402417. The next prime is 313402421. The reversal of 313402419 is 914204313.

It is an interprime number because it is at equal distance from previous prime (313402417) and next prime (313402421).

It is not a de Polignac number, because 313402419 - 2¹ = 313402417 is a prime.

It is a super-2 number, since 2×313402419² = 196442152470103122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313402392 and 313402401.

It is not an unprimeable number, because it can be changed into a prime (313402417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101539 + ... + 104579.

It is an arithmetic number, because the mean of its divisors is an integer number (15879240).

Almost surely, 2^313402419 is an apocalyptic number.

313402419 is a deficient number, since it is larger than the sum of its proper divisors (194733261).

313402419 is a wasteful number, since it uses less digits than its factorization.

313402419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 313402419 is about 17703.1753931322. The cubic root of 313402419 is about 679.2569875956.

The spelling of 313402419 in words is "three hundred thirteen million, four hundred two thousand, four hundred nineteen".