321330000 has 100 divisors (see below), whose sum is σ = 1037392928. Its totient is φ = 85680000.

The previous prime is 321329969. The next prime is 321330011. The reversal of 321330000 is 33123.

It is a happy number.

321330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24645 + ... + 35355.

Almost surely, 2^321330000 is an apocalyptic number.

321330000 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 321330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518696464).

321330000 is an abundant number, since it is smaller than the sum of its proper divisors (716062928).

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

321330000 is a wasteful number, since it uses less digits than its factorization.

321330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 321330000 is about 17925.6799034235. The cubic root of 321330000 is about 684.9366805271.

Adding to 321330000 its reverse (33123), we get a palindrome (321363123).

The spelling of 321330000 in words is "three hundred twenty-one million, three hundred thirty thousand".