34240034313 has 14 divisors (see below), whose sum is σ = 51336568314. Its totient is φ = 22826689056.

The previous prime is 34240034287. The next prime is 34240034327. The reversal of 34240034313 is 31343004243.

34240034313 is a `hidden beast` number, since 342 + 4 + 0 + 0 + 3 + 4 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32180054544 + 2059979769 = 179388^2 + 45387^2 .

It is not a de Polignac number, because 34240034313 - 2²⁴ = 34223257097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34240030313) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23483520 + ... + 23484977.

Almost surely, 2^34240034313 is an apocalyptic number.

It is an amenable number.

34240034313 is a deficient number, since it is larger than the sum of its proper divisors (17096534001).

34240034313 is an frugal number, since it uses more digits than its factorization.

34240034313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46968515 (or 46968500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34240034313 its reverse (31343004243), we get a palindrome (65583038556).

The spelling of 34240034313 in words is "thirty-four billion, two hundred forty million, thirty-four thousand, three hundred thirteen".