334320 has 80 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 76032.

The previous prime is 334319. The next prime is 334331. The reversal of 334320 is 23433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×334320² = 223539724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 334320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2³³⁴³²⁰ is an apocalyptic number.

334320 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 334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

334320 is an abundant number, since it is smaller than the sum of its proper divisors (856080).

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

334320 is a wasteful number, since it uses less digits than its factorization.

334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 334320 is about 578.2041162081. The cubic root of 334320 is about 69.4044716921.

Adding to 334320 its reverse (23433), we get a palindrome (357753).

The spelling of 334320 in words is "three hundred thirty-four thousand, three hundred twenty".