34454200 has 48 divisors (see below), whose sum is σ = 87393960. Its totient is φ = 12528000.

The previous prime is 34454183. The next prime is 34454249. The reversal of 34454200 is 245443.

It is a happy number.

34454200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5631 + ... + 10030.

Almost surely, 2^34454200 is an apocalyptic number.

It is an amenable number.

34454200 is an abundant number, since it is smaller than the sum of its proper divisors (52939760).

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

34454200 is a wasteful number, since it uses less digits than its factorization.

34454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 34454200 is about 5869.7700125303. The cubic root of 34454200 is about 325.3973837357.

Adding to 34454200 its reverse (245443), we get a palindrome (34699643).

The spelling of 34454200 in words is "thirty-four million, four hundred fifty-four thousand, two hundred".