320003400 has 192 divisors, whose sum is σ = 1048593600. Its totient is φ = 80604160.

The previous prime is 320003357. The next prime is 320003407. The reversal of 320003400 is 4300023.

320003400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320003407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 922027 + ... + 922373.

It is an arithmetic number, because the mean of its divisors is an integer number (5461425).

Almost surely, 2^320003400 is an apocalyptic number.

320003400 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 320003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524296800).

320003400 is an abundant number, since it is smaller than the sum of its proper divisors (728590200).

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

320003400 is a wasteful number, since it uses less digits than its factorization.

320003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320003400 is about 17888.6388526349. The cubic root of 320003400 is about 683.9928011280.

Adding to 320003400 its reverse (4300023), we get a palindrome (324303423).

The spelling of 320003400 in words is "three hundred twenty million, three thousand, four hundred".