34041141 has 48 divisors (see below), whose sum is σ = 54949440. Its totient is φ = 20995200.

The previous prime is 34041121. The next prime is 34041169. The reversal of 34041141 is 14114043.

34041141 = T₉₂₉ + T₉₃₀ + ... + T₁₀₀₁.

34041141 = 53³ + 54³ + ... + 109³.

34041141 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 34041141 - 2⁵ = 34041109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041101) 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 47 ways as a sum of consecutive naturals, for example, 336991 + ... + 337091.

It is an arithmetic number, because the mean of its divisors is an integer number (1144780).

Almost surely, 2^34041141 is an apocalyptic number.

It is an amenable number.

34041141 is a deficient number, since it is larger than the sum of its proper divisors (20908299).

34041141 is a wasteful number, since it uses less digits than its factorization.

34041141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34041141 is about 5834.4786399472. The cubic root of 34041141 is about 324.0917949780.

Adding to 34041141 its reverse (14114043), we get a palindrome (48155184).

The spelling of 34041141 in words is "thirty-four million, forty-one thousand, one hundred forty-one".