34307328 has 144 divisors (see below), whose sum is σ = 103606272. Its totient is φ = 9984000.

The previous prime is 34307327. The next prime is 34307341. The reversal of 34307328 is 82370343.

34307328 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34307295 and 34307304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34307327) 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, 261823 + ... + 261953.

It is an arithmetic number, because the mean of its divisors is an integer number (719488).

Almost surely, 2^34307328 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 34307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51803136).

34307328 is an abundant number, since it is smaller than the sum of its proper divisors (69298944).

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

34307328 is a wasteful number, since it uses less digits than its factorization.

34307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34307328 is about 5857.2457691307. The cubic root of 34307328 is about 324.9343551835.

The spelling of 34307328 in words is "thirty-four million, three hundred seven thousand, three hundred twenty-eight".