313434405 has 24 divisors (see below), whose sum is σ = 548279160. Its totient is φ = 165628800.

The previous prime is 313434391. The next prime is 313434427. The reversal of 313434405 is 504434313.

313434405 is a `hidden beast` number, since 313 + 4 + 344 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129072321 + 184362084 = 11361^2 + 13578^2 .

It is not a de Polignac number, because 313434405 - 2¹⁰ = 313433381 is a prime.

It is a super-2 number, since 2×313434405² = 196482252475408050, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 27046 + ... + 36855.

It is an arithmetic number, because the mean of its divisors is an integer number (22844965).

Almost surely, 2^313434405 is an apocalyptic number.

It is an amenable number.

313434405 is a deficient number, since it is larger than the sum of its proper divisors (234844755).

313434405 is a wasteful number, since it uses less digits than its factorization.

313434405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64021 (or 64018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 313434405 is about 17704.0787673349. The cubic root of 313434405 is about 679.2800952399.

Adding to 313434405 its reverse (504434313), we get a palindrome (817868718).

The spelling of 313434405 in words is "three hundred thirteen million, four hundred thirty-four thousand, four hundred five".