203400320 has 128 divisors (see below), whose sum is σ = 525096000. Its totient is φ = 75091968.

The previous prime is 203400283. The next prime is 203400343. The reversal of 203400320 is 23004302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×203400320² = 82743380352204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203400295 and 203400304.

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, 522686 + ... + 523074.

Almost surely, 2^203400320 is an apocalyptic number.

203400320 is a gapful number since it is divisible by the number (20) 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 203400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262548000).

203400320 is an abundant number, since it is smaller than the sum of its proper divisors (321695680).

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

203400320 is a wasteful number, since it uses less digits than its factorization.

203400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 203400320 is about 14261.8484075522. The cubic root of 203400320 is about 588.0991394995.

Adding to 203400320 its reverse (23004302), we get a palindrome (226404622).

The spelling of 203400320 in words is "two hundred three million, four hundred thousand, three hundred twenty".