34303200 has 72 divisors (see below), whose sum is σ = 111664728. Its totient is φ = 9146880.

The previous prime is 34303193. The next prime is 34303231. The reversal of 34303200 is 230343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34303200.

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 11 ways as a sum of consecutive naturals, for example, 4747 + ... + 9546.

It is an arithmetic number, because the mean of its divisors is an integer number (1550899).

Almost surely, 2^34303200 is an apocalyptic number.

34303200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34303200 is an abundant number, since it is smaller than the sum of its proper divisors (77361528).

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

34303200 is a wasteful number, since it uses less digits than its factorization.

34303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14316 (or 14303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 34303200 is about 5856.8933744776. The cubic root of 34303200 is about 324.9213221776.

Adding to 34303200 its reverse (230343), we get a palindrome (34533543).

The spelling of 34303200 in words is "thirty-four million, three hundred three thousand, two hundred".