233040340 has 48 divisors (see below), whose sum is σ = 528529680. Its totient is φ = 85800960.

The previous prime is 233040337. The next prime is 233040341. The reversal of 233040340 is 43040332.

It can be written as a sum of positive squares in 8 ways, for example, as 109118916 + 123921424 = 10446^2 + 11132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233040341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108396 + ... + 110524.

It is an arithmetic number, because the mean of its divisors is an integer number (11011035).

Almost surely, 2^233040340 is an apocalyptic number.

233040340 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 233040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264264840).

233040340 is an abundant number, since it is smaller than the sum of its proper divisors (295489340).

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

233040340 is a wasteful number, since it uses less digits than its factorization.

233040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 233040340 is about 15265.6588459195. The cubic root of 233040340 is about 615.3804594992.

Adding to 233040340 its reverse (43040332), we get a palindrome (276080672).

The spelling of 233040340 in words is "two hundred thirty-three million, forty thousand, three hundred forty".