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300000168 = 233213320513
BaseRepresentation
bin10001111000011…
…010001110101000
3202220111120212100
4101320122032220
51103300001133
645434013400
710301650026
oct2170321650
9686446770
10300000168
11144384626
1284577260
134a1cabc0
142bbb3716
151b50de13
hex11e1a3a8

300000168 has 48 divisors (see below), whose sum is σ = 875003220. Its totient is φ = 92307456.

The previous prime is 300000167. The next prime is 300000251. The reversal of 300000168 is 861000003.

It can be written as a sum of positive squares in 2 ways, for example, as 267715044 + 32285124 = 16362^2 + 5682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 300000168.

It is not an unprimeable number, because it can be changed into a prime (300000167) 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 11 ways as a sum of consecutive naturals, for example, 159321 + ... + 161192.

Almost surely, 2300000168 is an apocalyptic number.

It is an amenable number.

300000168 is an abundant number, since it is smaller than the sum of its proper divisors (575003052).

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

300000168 is a wasteful number, since it uses less digits than its factorization.

300000168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320538 (or 320531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 300000168 is about 17320.5129254304. The cubic root of 300000168 is about 669.4330750430.

The spelling of 300000168 in words is "three hundred million, one hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 320513 641026 961539 1282052 1923078 2564104 2884617 3846156 4166669 5769234 7692312 8333338 11538468 12500007 16666676 23076936 25000014 33333352 37500021 50000028 75000042 100000056 150000084 300000168