311348385 has 12 divisors (see below), whose sum is σ = 539670612. Its totient is φ = 166052448.

The previous prime is 311348371. The next prime is 311348461. The reversal of 311348385 is 583843113.

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 269977761 = 6432^2 + 16431^2 .

It is not a de Polignac number, because 311348385 - 2⁹ = 311347873 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3459382 + ... + 3459471.

It is an arithmetic number, because the mean of its divisors is an integer number (44972551).

Almost surely, 2^311348385 is an apocalyptic number.

It is an amenable number.

311348385 is a deficient number, since it is larger than the sum of its proper divisors (228322227).

311348385 is a wasteful number, since it uses less digits than its factorization.

311348385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918864 (or 6918861 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 311348385 is about 17645.0668743420. The cubic root of 311348385 is about 677.7697876620.

The spelling of 311348385 in words is "three hundred eleven million, three hundred forty-eight thousand, three hundred eighty-five".