329144130 has 96 divisors (see below), whose sum is σ = 983458944. Its totient is φ = 74815488.

The previous prime is 329144093. The next prime is 329144159. The reversal of 329144130 is 31441923.

329144130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329144094 and 329144103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120237 + ... + 122943.

It is an arithmetic number, because the mean of its divisors is an integer number (10244364).

Almost surely, 2^329144130 is an apocalyptic number.

329144130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491729472).

329144130 is an abundant number, since it is smaller than the sum of its proper divisors (654314814).

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

329144130 is a wasteful number, since it uses less digits than its factorization.

329144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2917 counting only the distinct ones).

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

The square root of 329144130 is about 18142.3297842366. The cubic root of 329144130 is about 690.4443892214. Note that the first 3 decimals are identical.

The spelling of 329144130 in words is "three hundred twenty-nine million, one hundred forty-four thousand, one hundred thirty".