34105914 has 48 divisors (see below), whose sum is σ = 78599040. Its totient is φ = 10962000.

The previous prime is 34105913. The next prime is 34105937. The reversal of 34105914 is 41950143.

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

It is not an unprimeable number, because it can be changed into a prime (34105913) 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, 45039 + ... + 45789.

It is an arithmetic number, because the mean of its divisors is an integer number (1637480).

Almost surely, 2^34105914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299520).

34105914 is an abundant number, since it is smaller than the sum of its proper divisors (44493126).

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

34105914 is a wasteful number, since it uses less digits than its factorization.

34105914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 34105914 is about 5840.0268834998. The cubic root of 34105914 is about 324.2972238268.

The spelling of 34105914 in words is "thirty-four million, one hundred five thousand, nine hundred fourteen".