334816320 has 112 divisors (see below), whose sum is σ = 1068384960. Its totient is φ = 88836096.

The previous prime is 334816319. The next prime is 334816357. The reversal of 334816320 is 23618433.

It is a super-2 number, since 2×334816320² = 224203936276684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219079 + ... + 220601.

Almost surely, 2^334816320 is an apocalyptic number.

334816320 is a gapful number since it is divisible by the number (30) 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 334816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534192480).

334816320 is an abundant number, since it is smaller than the sum of its proper divisors (733568640).

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

334816320 is a wasteful number, since it uses less digits than its factorization.

334816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 334816320 is about 18297.9867745061. The cubic root of 334816320 is about 694.3879987591.

The spelling of 334816320 in words is "three hundred thirty-four million, eight hundred sixteen thousand, three hundred twenty".