34053200 has 30 divisors (see below), whose sum is σ = 81813774. Its totient is φ = 13621120.

The previous prime is 34053197. The next prime is 34053203. The reversal of 34053200 is 235043.

It is an interprime number because it is at equal distance from previous prime (34053197) and next prime (34053203).

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 33965584 = 296^2 + 5828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42167 + ... + 42966.

Almost surely, 2^34053200 is an apocalyptic number.

It is an amenable number.

34053200 is an abundant number, since it is smaller than the sum of its proper divisors (47760574).

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

34053200 is a wasteful number, since it uses less digits than its factorization.

34053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85151 (or 85140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 34053200 is about 5835.5119741116. The cubic root of 34053200 is about 324.1300600639.

Adding to 34053200 its reverse (235043), we get a palindrome (34288243).

The spelling of 34053200 in words is "thirty-four million, fifty-three thousand, two hundred".