203042320 has 80 divisors (see below), whose sum is σ = 513685872. Its totient is φ = 74188800.

The previous prime is 203042317. The next prime is 203042327. The reversal of 203042320 is 23240302.

It can be written as a sum of positive squares in 8 ways, for example, as 2876416 + 200165904 = 1696^2 + 14148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 203042294 and 203042303.

It is not an unprimeable number, because it can be changed into a prime (203042327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104074 + ... + 106006.

Almost surely, 2^203042320 is an apocalyptic number.

203042320 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 203042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256842936).

203042320 is an abundant number, since it is smaller than the sum of its proper divisors (310643552).

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

203042320 is a wasteful number, since it uses less digits than its factorization.

203042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

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

The square root of 203042320 is about 14249.2919122320. The cubic root of 203042320 is about 587.7539038337.

Adding to 203042320 its reverse (23240302), we get a palindrome (226282622).

The spelling of 203042320 in words is "two hundred three million, forty-two thousand, three hundred twenty".