34144209 has 24 divisors (see below), whose sum is σ = 54112032. Its totient is φ = 20574720.

The previous prime is 34144207. The next prime is 34144301. The reversal of 34144209 is 90244143.

It is not a de Polignac number, because 34144209 - 2¹ = 34144207 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34144207) 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, 18214 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (2254668).

Almost surely, 2^34144209 is an apocalyptic number.

It is an amenable number.

34144209 is a deficient number, since it is larger than the sum of its proper divisors (19967823).

34144209 is a wasteful number, since it uses less digits than its factorization.

34144209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34144209 is about 5843.3046300873. The cubic root of 34144209 is about 324.4185548563.

The spelling of 34144209 in words is "thirty-four million, one hundred forty-four thousand, two hundred nine".