34301313 has 20 divisors (see below), whose sum is σ = 51951108. Its totient is φ = 22550400.

The previous prime is 34301279. The next prime is 34301321. The reversal of 34301313 is 31310343.

It can be written as a sum of positive squares in 2 ways, for example, as 28483569 + 5817744 = 5337^2 + 2412^2 .

It is not a de Polignac number, because 34301313 - 2¹⁰ = 34300289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34301353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3013 + ... + 8813.

Almost surely, 2^34301313 is an apocalyptic number.

It is an amenable number.

34301313 is a deficient number, since it is larger than the sum of its proper divisors (17649795).

34301313 is an equidigital number, since it uses as much as digits as its factorization.

34301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 34301313 is about 5856.7322800347. The cubic root of 34301313 is about 324.9153641545.

Adding to 34301313 its reverse (31310343), we get a palindrome (65611656).

The spelling of 34301313 in words is "thirty-four million, three hundred one thousand, three hundred thirteen".