34500144 has 40 divisors (see below), whose sum is σ = 101858560. Its totient is φ = 9857088.

The previous prime is 34500133. The next prime is 34500149. The reversal of 34500144 is 44100543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34500144.

It is not an unprimeable number, because it can be changed into a prime (34500149) 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 7 ways as a sum of consecutive naturals, for example, 51004 + ... + 51675.

It is an arithmetic number, because the mean of its divisors is an integer number (2546464).

Almost surely, 2^34500144 is an apocalyptic number.

It is an amenable number.

34500144 is an abundant number, since it is smaller than the sum of its proper divisors (67358416).

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

34500144 is a wasteful number, since it uses less digits than its factorization.

34500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102697 (or 102691 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34500144 is about 5873.6823203166. The cubic root of 34500144 is about 325.5419565030.

Adding to 34500144 its reverse (44100543), we get a palindrome (78600687).

The spelling of 34500144 in words is "thirty-four million, five hundred thousand, one hundred forty-four".