34014200 has 48 divisors (see below), whose sum is σ = 86277960. Its totient is φ = 12368000.

The previous prime is 34014191. The next prime is 34014209. The reversal of 34014200 is 241043.

It is an interprime number because it is at equal distance from previous prime (34014191) and next prime (34014209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014209) by changing a digit.

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, 5531 + ... + 9930.

Almost surely, 2^34014200 is an apocalyptic number.

It is an amenable number.

34014200 is an abundant number, since it is smaller than the sum of its proper divisors (52263760).

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

34014200 is a wasteful number, since it uses less digits than its factorization.

34014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34014200 is about 5832.1694076904. The cubic root of 34014200 is about 324.0062743285.

Adding to 34014200 its reverse (241043), we get a palindrome (34255243).

The spelling of 34014200 in words is "thirty-four million, fourteen thousand, two hundred".