34144041 has 16 divisors (see below), whose sum is σ = 48325248. Its totient is φ = 21369600.

The previous prime is 34144039. The next prime is 34144063. The reversal of 34144041 is 14044143.

34144041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34144041 - 2¹ = 34144039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34143999 and 34144017.

It is not an unprimeable number, because it can be changed into a prime (34144001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31651 + ... + 32711.

It is an arithmetic number, because the mean of its divisors is an integer number (3020328).

Almost surely, 2^34144041 is an apocalyptic number.

It is an amenable number.

34144041 is a deficient number, since it is larger than the sum of its proper divisors (14181207).

34144041 is a wasteful number, since it uses less digits than its factorization.

34144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34144041 is about 5843.2902546425. The cubic root of 34144041 is about 324.4180227757.

Adding to 34144041 its reverse (14044143), we get a palindrome (48188184).

The spelling of 34144041 in words is "thirty-four million, one hundred forty-four thousand, forty-one".