233840320 has 56 divisors (see below), whose sum is σ = 636385824. Its totient is φ = 80173056.

The previous prime is 233840317. The next prime is 233840329. The reversal of 233840320 is 23048332.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (233840329) 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 7 ways as a sum of consecutive naturals, for example, 49957 + ... + 54436.

Almost surely, 2^233840320 is an apocalyptic number.

233840320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233840320 is an abundant number, since it is smaller than the sum of its proper divisors (402545504).

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

233840320 is a wasteful number, since it uses less digits than its factorization.

233840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104417 (or 104407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 233840320 is about 15291.8383459936. The cubic root of 233840320 is about 616.0838138613.

Adding to 233840320 its reverse (23048332), we get a palindrome (256888652).

The spelling of 233840320 in words is "two hundred thirty-three million, eight hundred forty thousand, three hundred twenty".