34513264 has 40 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 16140288.

The previous prime is 34513249. The next prime is 34513319. The reversal of 34513264 is 46231543.

It is a super-3 number, since 3×34513264³ (a number of 24 digits) contains 333 as substring.

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, 60372 + ... + 60940.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^34513264 is an apocalyptic number.

34513264 is a gapful number since it is divisible by the number (34) 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 34513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

34513264 is an abundant number, since it is smaller than the sum of its proper divisors (36732176).

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

34513264 is a wasteful number, since it uses less digits than its factorization.

34513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 34513264 is about 5874.7990603935. The cubic root of 34513264 is about 325.5832178686.

The spelling of 34513264 in words is "thirty-four million, five hundred thirteen thousand, two hundred sixty-four".