34123296 has 48 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 11308800.

The previous prime is 34123261. The next prime is 34123303. The reversal of 34123296 is 69232143.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17406 + ... + 19266.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^34123296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

34123296 is an abundant number, since it is smaller than the sum of its proper divisors (55967712).

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

34123296 is a wasteful number, since it uses less digits than its factorization.

34123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2057 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 34123296 is about 5841.5148720174. The cubic root of 34123296 is about 324.3523069129.

The spelling of 34123296 in words is "thirty-four million, one hundred twenty-three thousand, two hundred ninety-six".