233034040 has 64 divisors (see below), whose sum is σ = 538682400. Its totient is φ = 90697728.

The previous prime is 233034019. The next prime is 233034041. The reversal of 233034040 is 40430332.

It is a junction number, because it is equal to n+sod(n) for n = 233033999 and 233034017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233034041) 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, 238032 + ... + 239008.

Almost surely, 2^233034040 is an apocalyptic number.

233034040 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 233034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269341200).

233034040 is an abundant number, since it is smaller than the sum of its proper divisors (305648360).

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

233034040 is a wasteful number, since it uses less digits than its factorization.

233034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

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

The square root of 233034040 is about 15265.4524990254. The cubic root of 233034040 is about 615.3749140618.

Adding to 233034040 its reverse (40430332), we get a palindrome (273464372).

The spelling of 233034040 in words is "two hundred thirty-three million, thirty-four thousand, forty".