34014006 has 80 divisors (see below), whose sum is σ = 84889728. Its totient is φ = 10108800.

The previous prime is 34013951. The next prime is 34014011. The reversal of 34014006 is 60041043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 34014006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65026 + ... + 65546.

Almost surely, 2^34014006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444864).

34014006 is an abundant number, since it is smaller than the sum of its proper divisors (50875722).

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

34014006 is a wasteful number, since it uses less digits than its factorization.

34014006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34014006 is about 5832.1527757767. The cubic root of 34014006 is about 324.0056583374.

Adding to 34014006 its reverse (60041043), we get a palindrome (94055049).

The spelling of 34014006 in words is "thirty-four million, fourteen thousand, six".