320434320 has 80 divisors (see below), whose sum is σ = 996811200. Its totient is φ = 85151232.

The previous prime is 320434313. The next prime is 320434357. The reversal of 320434320 is 23434023.

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

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, 71506 + ... + 75854.

It is an arithmetic number, because the mean of its divisors is an integer number (12460140).

Almost surely, 2^320434320 is an apocalyptic number.

320434320 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 320434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498405600).

320434320 is an abundant number, since it is smaller than the sum of its proper divisors (676376880).

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

320434320 is a wasteful number, since it uses less digits than its factorization.

320434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 320434320 is about 17900.6793167187. The cubic root of 320434320 is about 684.2996874236.

Adding to 320434320 its reverse (23434023), we get a palindrome (343868343).

It can be divided in two parts, 32043 and 4320, that added together give a palindrome (36363).

The spelling of 320434320 in words is "three hundred twenty million, four hundred thirty-four thousand, three hundred twenty".