300023040 has 288 divisors, whose sum is σ = 1036062720. Its totient is φ = 73801728.

The previous prime is 300023039. The next prime is 300023041. The reversal of 300023040 is 40320003.

300023040 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (300023039) and next prime (300023041).

It is a super-3 number, since 3×300023040³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300023041) 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 31 ways as a sum of consecutive naturals, for example, 3797721 + ... + 3797799.

It is an arithmetic number, because the mean of its divisors is an integer number (3597440).

Almost surely, 2^300023040 is an apocalyptic number.

300023040 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 300023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518031360).

300023040 is an abundant number, since it is smaller than the sum of its proper divisors (736039680).

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

300023040 is a wasteful number, since it uses less digits than its factorization.

300023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 300023040 is about 17321.1731704293. The cubic root of 300023040 is about 669.4500871270.

Adding to 300023040 its reverse (40320003), we get a palindrome (340343043).

The spelling of 300023040 in words is "three hundred million, twenty-three thousand, forty".