34054200 has 72 divisors (see below), whose sum is σ = 114371400. Its totient is φ = 9080640.

The previous prime is 34054199. The next prime is 34054201. The reversal of 34054200 is 245043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34054199) and next prime (34054201).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7660 + ... + 11259.

Almost surely, 2^34054200 is an apocalyptic number.

34054200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34054200 is an abundant number, since it is smaller than the sum of its proper divisors (80317200).

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

34054200 is a wasteful number, since it uses less digits than its factorization.

34054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34054200 is about 5835.5976557676. The cubic root of 34054200 is about 324.1332328141.

Adding to 34054200 its reverse (245043), we get a palindrome (34299243).

The spelling of 34054200 in words is "thirty-four million, fifty-four thousand, two hundred".