340838304 has 96 divisors (see below), whose sum is σ = 978034176. Its totient is φ = 103464960.

The previous prime is 340838291. The next prime is 340838353. The reversal of 340838304 is 403838043.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47224 + ... + 53960.

It is an arithmetic number, because the mean of its divisors is an integer number (10187856).

Almost surely, 2^340838304 is an apocalyptic number.

340838304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489017088).

340838304 is an abundant number, since it is smaller than the sum of its proper divisors (637195872).

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

340838304 is a wasteful number, since it uses less digits than its factorization.

340838304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 340838304 is about 18461.8066288216. The cubic root of 340838304 is about 698.5263583666.

The spelling of 340838304 in words is "three hundred forty million, eight hundred thirty-eight thousand, three hundred four".