193842432 has 324 divisors, whose sum is σ = 695203236. Its totient is φ = 51609600.

The previous prime is 193842431. The next prime is 193842437. The reversal of 193842432 is 234248391.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 22127616 = 13104^2 + 4704^2 .

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 not an unprimeable number, because it can be changed into a prime (193842431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919182 + ... + 1919282.

It is an arithmetic number, because the mean of its divisors is an integer number (2145689).

Almost surely, 2^193842432 is an apocalyptic number.

193842432 is a gapful number since it is divisible by the number (12) 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 193842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347601618).

193842432 is an abundant number, since it is smaller than the sum of its proper divisors (501360804).

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

193842432 is a wasteful number, since it uses less digits than its factorization.

193842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 193842432 is about 13922.7307666276. The cubic root of 193842432 is about 578.7392671080.

The spelling of 193842432 in words is "one hundred ninety-three million, eight hundred forty-two thousand, four hundred thirty-two".