320042320 has 40 divisors (see below), whose sum is σ = 801339336. Its totient is φ = 118169088.

The previous prime is 320042311. The next prime is 320042339. The reversal of 320042320 is 23240023.

It can be written as a sum of positive squares in 4 ways, for example, as 2062096 + 317980224 = 1436^2 + 17832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 320042294 and 320042303.

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 7 ways as a sum of consecutive naturals, for example, 152827 + ... + 154906.

Almost surely, 2^320042320 is an apocalyptic number.

It is an amenable number.

320042320 is an abundant number, since it is smaller than the sum of its proper divisors (481297016).

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

320042320 is a wasteful number, since it uses less digits than its factorization.

320042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307759 (or 307753 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 320042320 is about 17889.7266608520. The cubic root of 320042320 is about 684.0205299174.

Adding to 320042320 its reverse (23240023), we get a palindrome (343282343).

The spelling of 320042320 in words is "three hundred twenty million, forty-two thousand, three hundred twenty".