34065144 has 64 divisors (see below), whose sum is σ = 100202400. Its totient is φ = 10685952.

The previous prime is 34065131. The next prime is 34065173. The reversal of 34065144 is 44156043.

34065144 is a `hidden beast` number, since 3 + 4 + 0 + 651 + 4 + 4 = 666.

34065144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 967 + ... + 8310.

Almost surely, 2^34065144 is an apocalyptic number.

34065144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34065144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50101200).

34065144 is an abundant number, since it is smaller than the sum of its proper divisors (66137256).

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

34065144 is a wasteful number, since it uses less digits than its factorization.

34065144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34065144 is about 5836.5352736020. The cubic root of 34065144 is about 324.1679513331.

The spelling of 34065144 in words is "thirty-four million, sixty-five thousand, one hundred forty-four".