233034320034 has 160 divisors (see below), whose sum is σ = 559459270656. Its totient is φ = 72328813920.

The previous prime is 233034320033. The next prime is 233034320053. The reversal of 233034320034 is 430023430332.

233034320034 is a `hidden beast` number, since 2 + 3 + 303 + 4 + 320 + 0 + 34 = 666.

It is a super-2 number, since 2×233034320034² (a number of 24 digits) contains 22 as substring.

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 (233034320033) 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 79 ways as a sum of consecutive naturals, for example, 33444819 + ... + 33451785.

Almost surely, 2^233034320034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233034320034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279729635328).

233034320034 is an abundant number, since it is smaller than the sum of its proper divisors (326424950622).

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

233034320034 is a wasteful number, since it uses less digits than its factorization.

233034320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 233034320034 its reverse (430023430332), we get a palindrome (663057750366).

The spelling of 233034320034 in words is "two hundred thirty-three billion, thirty-four million, three hundred twenty thousand, thirty-four".