329423112 has 180 divisors, whose sum is σ = 996669135. Its totient is φ = 101645280.

The previous prime is 329423071. The next prime is 329423113. The reversal of 329423112 is 211324923.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 164711556 + 164711556 = 12834^2 + 12834^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12834.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (329423113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10626537 + ... + 10626567.

Almost surely, 2^329423112 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 329423112

329423112 is an abundant number, since it is smaller than the sum of its proper divisors (667246023).

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

329423112 is a wasteful number, since it uses less digits than its factorization.

329423112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 329423112 is about 18150.0168594963. The cubic root of 329423112 is about 690.6394072928.

Multiplying 329423112 by its product of digits (2592), we get a square (853864706304 = 924048²).

The spelling of 329423112 in words is "three hundred twenty-nine million, four hundred twenty-three thousand, one hundred twelve".