34053152 has 48 divisors (see below), whose sum is σ = 77797440. Its totient is φ = 14370048.

The previous prime is 34053121. The next prime is 34053167. The reversal of 34053152 is 25135043.

It is a super-2 number, since 2×34053152² = 2319234322270208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13874 + ... + 16142.

It is an arithmetic number, because the mean of its divisors is an integer number (1620780).

Almost surely, 2^34053152 is an apocalyptic number.

34053152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38898720).

34053152 is an abundant number, since it is smaller than the sum of its proper divisors (43744288).

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

34053152 is a wasteful number, since it uses less digits than its factorization.

34053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 34053152 is about 5835.5078613605. The cubic root of 34053152 is about 324.1299077704.

Adding to 34053152 its reverse (25135043), we get a palindrome (59188195).

The spelling of 34053152 in words is "thirty-four million, fifty-three thousand, one hundred fifty-two".