34006734 has 24 divisors (see below), whose sum is σ = 76223160. Its totient is φ = 10944528.

The previous prime is 34006727. The next prime is 34006757. The reversal of 34006734 is 43760043.

34006734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

34006734 is a modest number, since divided by 6734 gives 34 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 34006698 and 34006707.

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 11 ways as a sum of consecutive naturals, for example, 32052 + ... + 33095.

It is an arithmetic number, because the mean of its divisors is an integer number (3175965).

Almost surely, 2^34006734 is an apocalyptic number.

34006734 is an abundant number, since it is smaller than the sum of its proper divisors (42216426).

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

34006734 is a wasteful number, since it uses less digits than its factorization.

34006734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65184 (or 65181 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34006734 is about 5831.5293019927. The cubic root of 34006734 is about 323.9825665060.

Adding to 34006734 its reverse (43760043), we get a palindrome (77766777).

The spelling of 34006734 in words is "thirty-four million, six thousand, seven hundred thirty-four".