34400264 has 24 divisors (see below), whose sum is σ = 66814410. Its totient is φ = 16603776.

The previous prime is 34400239. The next prime is 34400273. The reversal of 34400264 is 46200443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19731364 + 14668900 = 4442^2 + 3830^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4172 + ... + 9284.

Almost surely, 2^34400264 is an apocalyptic number.

It is an amenable number.

34400264 is a deficient number, since it is larger than the sum of its proper divisors (32414146).

34400264 is a wasteful number, since it uses less digits than its factorization.

34400264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34400264 is about 5865.1738252161. The cubic root of 34400264 is about 325.2274983089.

The spelling of 34400264 in words is "thirty-four million, four hundred thousand, two hundred sixty-four".