234333333432 has 192 divisors, whose sum is σ = 716500287360. Its totient is φ = 68562374400.

The previous prime is 234333333419. The next prime is 234333333449.

234333333432 is a `hidden beast` number, since 234 + 33 + 33 + 334 + 32 = 666.

234333333432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234333333432² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3808303 + ... + 3869345.

It is an arithmetic number, because the mean of its divisors is an integer number (3731772330).

Almost surely, 2^234333333432 is an apocalyptic number.

234333333432 is a gapful number since it is divisible by the number (22) 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 234333333432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358250143680).

234333333432 is an abundant number, since it is smaller than the sum of its proper divisors (482166953928).

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

234333333432 is a wasteful number, since it uses less digits than its factorization.

234333333432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61234 (or 61227 counting only the distinct ones).

The product of its digits is 419904, while the sum is 36.

It can be divided in two parts, 234333 and 333432, that added together give a palindrome (567765).

The spelling of 234333333432 in words is "two hundred thirty-four billion, three hundred thirty-three million, three hundred thirty-three thousand, four hundred thirty-two".