320130000 has 150 divisors (see below), whose sum is σ = 1119855594. Its totient is φ = 85344000.

The previous prime is 320129989. The next prime is 320130007. The reversal of 320130000 is 31023.

It is a happy number.

320130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 193432464 + 126697536 = 13908^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 88222 + ... + 91778.

Almost surely, 2^320130000 is an apocalyptic number.

320130000 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 320130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559927797).

320130000 is an abundant number, since it is smaller than the sum of its proper divisors (799725594).

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

320130000 is a wasteful number, since it uses less digits than its factorization.

320130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 320130000 is about 17892.1770614981. The cubic root of 320130000 is about 684.0829898278.

Adding to 320130000 its reverse (31023), we get a palindrome (320161023).

The spelling of 320130000 in words is "three hundred twenty million, one hundred thirty thousand".