233642340 has 96 divisors (see below), whose sum is σ = 736968960. Its totient is φ = 61440768.

The previous prime is 233642329. The next prime is 233642341. The reversal of 233642340 is 43246332.

It is a happy number.

233642340 is a `hidden beast` number, since 233 + 6 + 423 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233642341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36457 + ... + 42383.

It is an arithmetic number, because the mean of its divisors is an integer number (7676760).

Almost surely, 2^233642340 is an apocalyptic number.

233642340 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 233642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368484480).

233642340 is an abundant number, since it is smaller than the sum of its proper divisors (503326620).

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

233642340 is a wasteful number, since it uses less digits than its factorization.

233642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 233642340 is about 15285.3635874323. The cubic root of 233642340 is about 615.9098964460.

Adding to 233642340 its reverse (43246332), we get a palindrome (276888672).

The spelling of 233642340 in words is "two hundred thirty-three million, six hundred forty-two thousand, three hundred forty".