34111441 has 32 divisors (see below), whose sum is σ = 44844800. Its totient is φ = 25194240.

The previous prime is 34111421. The next prime is 34111457. The reversal of 34111441 is 14411143.

34111441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 5-Lehmer number, since φ(34111441) divides (34111441-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 34111441 - 2¹³ = 34103249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is the 5841-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (34111411) by changing a digit.

It is a nontrivial repunit in base 5840.

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 31 ways as a sum of consecutive naturals, for example, 188371 + ... + 188551.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

It is a Poulet number, since it divides 2^34111440-1.

Almost surely, 2^34111441 is an apocalyptic number.

It is an amenable number.

34111441 is a deficient number, since it is larger than the sum of its proper divisors (10733359).

34111441 is a wasteful number, since it uses less digits than its factorization.

34111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 192, while the sum is 19.

The square root of 34111441 is about 5840.5000642068. The cubic root of 34111441 is about 324.3147407687.

Adding to 34111441 its reverse (14411143), we get a palindrome (48522584).

The spelling of 34111441 in words is "thirty-four million, one hundred eleven thousand, four hundred forty-one".