3000320 has 48 divisors (see below), whose sum is σ = 7223580. Its totient is φ = 1196032.

The previous prime is 3000317. The next prime is 3000331. The reversal of 3000320 is 230003.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 123904 = 1696^2 + 352^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 3000298 and 3000307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10094 + ... + 10386.

Almost surely, 2^3000320 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 3000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611790).

3000320 is an abundant number, since it is smaller than the sum of its proper divisors (4223260).

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

3000320 is an equidigital number, since it uses as much as digits as its factorization.

3000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 3000320 is about 1732.1431811487. The cubic root of 3000320 is about 144.2300848469.

Adding to 3000320 its reverse (230003), we get a palindrome (3230323).

It can be divided in two parts, 30003 and 20, that multiplied together give a triangular number (600060 = T₁₀₉₅).

The spelling of 3000320 in words is "three million, three hundred twenty", and thus it is an aban number.