234032312400 has 60 divisors (see below), whose sum is σ = 749683511232. Its totient is φ = 62408616320.

The previous prime is 234032312377. The next prime is 234032312407. The reversal of 234032312400 is 4213230432.

234032312400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×234032312400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234032312407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97512264 + ... + 97514663.

Almost surely, 2^234032312400 is an apocalyptic number.

234032312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234032312400 is an abundant number, since it is smaller than the sum of its proper divisors (515651198832).

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

234032312400 is a wasteful number, since it uses less digits than its factorization.

234032312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195026948 (or 195026937 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234032312400 its reverse (4213230432), we get a palindrome (238245542832).

The spelling of 234032312400 in words is "two hundred thirty-four billion, thirty-two million, three hundred twelve thousand, four hundred".