189434376 has 80 divisors (see below), whose sum is σ = 545000940. Its totient is φ = 61430400.

The previous prime is 189434363. The next prime is 189434387. The reversal of 189434376 is 673434981.

189434376 is a `hidden beast` number, since 189 + 434 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170302500 + 19131876 = 13050^2 + 4374^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20026 + ... + 27926.

Almost surely, 2^189434376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189434376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272500470).

189434376 is an abundant number, since it is smaller than the sum of its proper divisors (355566564).

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

189434376 is a wasteful number, since it uses less digits than its factorization.

189434376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7943 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 189434376 is about 13763.5161205268. The cubic root of 189434376 is about 574.3186646912.

The spelling of 189434376 in words is "one hundred eighty-nine million, four hundred thirty-four thousand, three hundred seventy-six".