300013200 has 120 divisors (see below), whose sum is σ = 1067863200. Its totient is φ = 80000640.

The previous prime is 300013183. The next prime is 300013201. The reversal of 300013200 is 2310003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (300013201) 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 23 ways as a sum of consecutive naturals, for example, 3090 + ... + 24689.

It is an arithmetic number, because the mean of its divisors is an integer number (8898860).

Almost surely, 2^300013200 is an apocalyptic number.

300013200 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 300013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533931600).

300013200 is an abundant number, since it is smaller than the sum of its proper divisors (767850000).

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

300013200 is a wasteful number, since it uses less digits than its factorization.

300013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806 (or 27789 counting only the distinct ones).

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

The square root of 300013200 is about 17320.8891226750. The cubic root of 300013200 is about 669.4427682881.

Adding to 300013200 its reverse (2310003), we get a palindrome (302323203).

The spelling of 300013200 in words is "three hundred million, thirteen thousand, two hundred".