34016304 has 80 divisors (see below), whose sum is σ = 103921920. Its totient is φ = 9381120.

The previous prime is 34016299. The next prime is 34016309. The reversal of 34016304 is 40361043.

It is an interprime number because it is at equal distance from previous prime (34016299) and next prime (34016309).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34016309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999 + ... + 11489.

It is an arithmetic number, because the mean of its divisors is an integer number (1299024).

Almost surely, 2^34016304 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 34016304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960960).

34016304 is an abundant number, since it is smaller than the sum of its proper divisors (69905616).

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

34016304 is a wasteful number, since it uses less digits than its factorization.

34016304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34016304 is about 5832.3497837493. The cubic root of 34016304 is about 324.0129548242.

Adding to 34016304 its reverse (40361043), we get a palindrome (74377347).

The spelling of 34016304 in words is "thirty-four million, sixteen thousand, three hundred four".