3007300 has 72 divisors (see below), whose sum is σ = 7265160. Its totient is φ = 1075200.

The previous prime is 3007297. The next prime is 3007313. The reversal of 3007300 is 37003.

3007300 is digitally balanced in base 2, 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 12 ways, for example, as 1179396 + 1827904 = 1086^2 + 1352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49270 + ... + 49330.

It is an arithmetic number, because the mean of its divisors is an integer number (100905).

Almost surely, 2^3007300 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 3007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632580).

3007300 is an abundant number, since it is smaller than the sum of its proper divisors (4257860).

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

3007300 is a wasteful number, since it uses less digits than its factorization.

3007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 13.

The square root of 3007300 is about 1734.1568556506. The cubic root of 3007300 is about 144.3418447382.

The spelling of 3007300 in words is "three million, seven thousand, three hundred".