34134144 has 64 divisors (see below), whose sum is σ = 98923680. Its totient is φ = 10342400.

The previous prime is 34134119. The next prime is 34134151. The reversal of 34134144 is 44143143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34134144² = 2330279573225472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 8264.

Almost surely, 2^34134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461840).

34134144 is an abundant number, since it is smaller than the sum of its proper divisors (64789536).

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

34134144 is a wasteful number, since it uses less digits than its factorization.

34134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8097 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 34134144 is about 5842.4433245005. The cubic root of 34134144 is about 324.3866744511.

Adding to 34134144 its reverse (44143143), we get a palindrome (78277287).

It can be divided in two parts, 3413 and 4144, that added together give a palindrome (7557).

The spelling of 34134144 in words is "thirty-four million, one hundred thirty-four thousand, one hundred forty-four".