34012100 has 18 divisors (see below), whose sum is σ = 73806474. Its totient is φ = 13604800.

The previous prime is 34012093. The next prime is 34012133. The reversal of 34012100 is 121043.

It is a happy number.

34012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8952064 + 25060036 = 2992^2 + 5006^2 .

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 5 ways as a sum of consecutive naturals, for example, 169961 + ... + 170160.

Almost surely, 2^34012100 is an apocalyptic number.

It is an amenable number.

34012100 is an abundant number, since it is smaller than the sum of its proper divisors (39794374).

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

34012100 is a wasteful number, since it uses less digits than its factorization.

34012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340135 (or 340128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 34012100 is about 5831.9893689889. The cubic root of 34012100 is about 323.9996062587. Note that the first 3 decimals are identical.

Adding to 34012100 its reverse (121043), we get a palindrome (34133143).

The spelling of 34012100 in words is "thirty-four million, twelve thousand, one hundred".