34233200 has 90 divisors (see below), whose sum is σ = 87251112. Its totient is φ = 12883200.

The previous prime is 34233191. The next prime is 34233211. The reversal of 34233200 is 233243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 561170 + ... + 561230.

Almost surely, 2^34233200 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 34233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43625556).

34233200 is an abundant number, since it is smaller than the sum of its proper divisors (53017912).

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

34233200 is a wasteful number, since it uses less digits than its factorization.

34233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 34233200 is about 5850.9144584415. The cubic root of 34233200 is about 324.7001573775.

Adding to 34233200 its reverse (233243), we get a palindrome (34466443).

The spelling of 34233200 in words is "thirty-four million, two hundred thirty-three thousand, two hundred".