34144100 has 36 divisors (see below), whose sum is σ = 74346804. Its totient is φ = 13610880.

The previous prime is 34144093. The next prime is 34144151. The reversal of 34144100 is 144143.

34144100 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 6 ways, for example, as 15808576 + 18335524 = 3976^2 + 4282^2 .

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 11 ways as a sum of consecutive naturals, for example, 55394 + ... + 56006.

It is an arithmetic number, because the mean of its divisors is an integer number (2065189).

Almost surely, 2^34144100 is an apocalyptic number.

It is an amenable number.

34144100 is an abundant number, since it is smaller than the sum of its proper divisors (40202704).

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

34144100 is a wasteful number, since it uses less digits than its factorization.

34144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34144100 is about 5843.2953031658. The cubic root of 34144100 is about 324.4182096376.

Adding to 34144100 its reverse (144143), we get a palindrome (34288243).

The spelling of 34144100 in words is "thirty-four million, one hundred forty-four thousand, one hundred".