34106240313 has 12 divisors (see below), whose sum is σ = 49274055168. Its totient is φ = 22733115480.

The previous prime is 34106240213. The next prime is 34106240351. The reversal of 34106240313 is 31304260143.

34106240313 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 624 + 0 + 31 + 3 = 666.

It is not a de Polignac number, because 34106240313 - 2¹² = 34106236217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34106240213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315145 + ... + 409302.

It is an arithmetic number, because the mean of its divisors is an integer number (4106171264).

Almost surely, 2^34106240313 is an apocalyptic number.

It is an amenable number.

34106240313 is a deficient number, since it is larger than the sum of its proper divisors (15167814855).

34106240313 is a wasteful number, since it uses less digits than its factorization.

34106240313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729684 (or 729681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34106240313 in words is "thirty-four billion, one hundred six million, two hundred forty thousand, three hundred thirteen".