34124013 has 48 divisors (see below), whose sum is σ = 63004032. Its totient is φ = 17280000.

The previous prime is 34123967. The next prime is 34124033. The reversal of 34124013 is 31042143.

It is not a de Polignac number, because 34124013 - 2¹⁴ = 34107629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27813 + ... + 29013.

It is an arithmetic number, because the mean of its divisors is an integer number (1312584).

Almost surely, 2^34124013 is an apocalyptic number.

34124013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34124013 is a deficient number, since it is larger than the sum of its proper divisors (28880019).

34124013 is a wasteful number, since it uses less digits than its factorization.

34124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34124013 is about 5841.5762427619. The cubic root of 34124013 is about 324.3545786647.

Adding to 34124013 its reverse (31042143), we get a palindrome (65166156).

The spelling of 34124013 in words is "thirty-four million, one hundred twenty-four thousand, thirteen".