34153008 has 40 divisors (see below), whose sum is σ = 90285888. Its totient is φ = 11118912.

The previous prime is 34153001. The next prime is 34153019. The reversal of 34153008 is 80035143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34153001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6210 + ... + 10337.

Almost surely, 2^34153008 is an apocalyptic number.

It is an amenable number.

34153008 is an abundant number, since it is smaller than the sum of its proper divisors (56132880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34153008 is a wasteful number, since it uses less digits than its factorization.

34153008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34153008 is about 5844.0574945837. The cubic root of 34153008 is about 324.4464201349.

The spelling of 34153008 in words is "thirty-four million, one hundred fifty-three thousand, eight".