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300314144 = 2513721909
BaseRepresentation
bin10001111001100…
…110111000100000
3202221002112120002
4101321212320200
51103340023034
645444435132
710304425304
oct2171467040
9687075502
10300314144
11144579509
12846a8aa8
134a2aaaa0
142bc55d04
151b571e7e
hex11e66e20

300314144 has 24 divisors (see below), whose sum is σ = 636724620. Its totient is φ = 138606336.

The previous prime is 300314117. The next prime is 300314219. The reversal of 300314144 is 441413003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 299290000 + 1024144 = 17300^2 + 1012^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 360539 + ... + 361370.

Almost surely, 2300314144 is an apocalyptic number.

It is an amenable number.

300314144 is an abundant number, since it is smaller than the sum of its proper divisors (336410476).

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

300314144 is a wasteful number, since it uses less digits than its factorization.

300314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721932 (or 721924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 300314144 is about 17329.5742590521. The cubic root of 300314144 is about 669.6665333965. Note that the first 3 decimals are identical.

Adding to 300314144 its reverse (441413003), we get a palindrome (741727147).

The spelling of 300314144 in words is "three hundred million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 721909 1443818 2887636 5775272 9384817 11550544 18769634 23101088 37539268 75078536 150157072 300314144