34083264 has 56 divisors (see below), whose sum is σ = 94935040. Its totient is φ = 10761984.

The previous prime is 34083251. The next prime is 34083277. The reversal of 34083264 is 46238043.

It is an interprime number because it is at equal distance from previous prime (34083251) and next prime (34083277).

It is a congruent number.

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, 1024 + ... + 8319.

Almost surely, 2^34083264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47467520).

34083264 is an abundant number, since it is smaller than the sum of its proper divisors (60851776).

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

34083264 is a wasteful number, since it uses less digits than its factorization.

34083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34083264 is about 5838.0873580309. The cubic root of 34083264 is about 324.2254185014.

The spelling of 34083264 in words is "thirty-four million, eighty-three thousand, two hundred sixty-four".