34540029 has 24 divisors (see below), whose sum is σ = 50913720. Its totient is φ = 22560768.

The previous prime is 34540027. The next prime is 34540057. The reversal of 34540029 is 92004543.

It can be written as a sum of positive squares in 4 ways, for example, as 20115225 + 14424804 = 4485^2 + 3798^2 .

It is not a de Polignac number, because 34540029 - 2¹ = 34540027 is a prime.

It is a super-3 number, since 3×34540029³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34539984 and 34540011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134269 + ... + 134525.

It is an arithmetic number, because the mean of its divisors is an integer number (2121405).

Almost surely, 2^34540029 is an apocalyptic number.

It is an amenable number.

34540029 is a deficient number, since it is larger than the sum of its proper divisors (16373691).

34540029 is a wasteful number, since it uses less digits than its factorization.

34540029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34540029 is about 5877.0765691796. The cubic root of 34540029 is about 325.6673592697.

The spelling of 34540029 in words is "thirty-four million, five hundred forty thousand, twenty-nine".