320342016 has 96 divisors (see below), whose sum is σ = 904569120. Its totient is φ = 100466688.

The previous prime is 320341997. The next prime is 320342021. The reversal of 320342016 is 610243023.

It is a happy number.

320342016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 320341983 and 320342001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102915 + ... + 105981.

It is an arithmetic number, because the mean of its divisors is an integer number (9422595).

Almost surely, 2^320342016 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 320342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452284560).

320342016 is an abundant number, since it is smaller than the sum of its proper divisors (584227104).

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

320342016 is a wasteful number, since it uses less digits than its factorization.

320342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 320342016 is about 17898.1009048446. The cubic root of 320342016 is about 684.2339748783.

Adding to 320342016 its reverse (610243023), we get a palindrome (930585039).

The spelling of 320342016 in words is "three hundred twenty million, three hundred forty-two thousand, sixteen".