329142000 has 160 divisors (see below), whose sum is σ = 1157854464. Its totient is φ = 79776000.

The previous prime is 329141971. The next prime is 329142001. The reversal of 329142000 is 241923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329142001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63507 + ... + 68493.

Almost surely, 2^329142000 is an apocalyptic number.

329142000 is a gapful number since it is divisible by the number (30) 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 329142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578927232).

329142000 is an abundant number, since it is smaller than the sum of its proper divisors (828712464).

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

329142000 is a wasteful number, since it uses less digits than its factorization.

329142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 329142000 is about 18142.2710816480. The cubic root of 329142000 is about 690.4428998539.

Adding to 329142000 its reverse (241923), we get a palindrome (329383923).

The spelling of 329142000 in words is "three hundred twenty-nine million, one hundred forty-two thousand".