34004047 has 16 divisors (see below), whose sum is σ = 43432704. Its totient is φ = 25848000.

The previous prime is 34004017. The next prime is 34004071. The reversal of 34004047 is 74040043.

34004047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34004047 - 2¹¹ = 34001999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004017) 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 15 ways as a sum of consecutive naturals, for example, 2229 + ... + 8542.

It is an arithmetic number, because the mean of its divisors is an integer number (2714544).

Almost surely, 2^34004047 is an apocalyptic number.

34004047 is a deficient number, since it is larger than the sum of its proper divisors (9428657).

34004047 is a wasteful number, since it uses less digits than its factorization.

34004047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830.

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 34004047 is about 5831.2989119063. The cubic root of 34004047 is about 323.9740332540.

It can be divided in two parts, 3400 and 4047, that added together give a palindrome (7447).

The spelling of 34004047 in words is "thirty-four million, four thousand, forty-seven".