320003424 has 144 divisors (see below), whose sum is σ = 989194752. Its totient is φ = 97542144.

The previous prime is 320003407. The next prime is 320003441. The reversal of 320003424 is 424300023.

320003424 is a `hidden beast` number, since 320 + 0 + 0 + 342 + 4 = 666.

320003424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (320003407) and next prime (320003441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320003397 and 320003406.

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 23 ways as a sum of consecutive naturals, for example, 475152 + ... + 475824.

It is an arithmetic number, because the mean of its divisors is an integer number (6869408).

Almost surely, 2^320003424 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 320003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494597376).

320003424 is an abundant number, since it is smaller than the sum of its proper divisors (669191328).

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

320003424 is a wasteful number, since it uses less digits than its factorization.

320003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 320003424 is about 17888.6395234517. The cubic root of 320003424 is about 683.9928182277.

Adding to 320003424 its reverse (424300023), we get a palindrome (744303447).

The spelling of 320003424 in words is "three hundred twenty million, three thousand, four hundred twenty-four".