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300005016 = 233532271039
BaseRepresentation
bin10001111000011…
…011011010011000
3202220111211111220
4101320123122120
51103300130031
645434052040
710302000123
oct2170333230
9686454456
10300005016
11144388233
128457a020
134a20017c
142bbb53ba
151b510596
hex11e1b698

300005016 has 64 divisors (see below), whose sum is σ = 768268800. Its totient is φ = 97588608.

The previous prime is 300004997. The next prime is 300005039. The reversal of 300005016 is 610500003.

It is a junction number, because it is equal to n+sod(n) for n = 300004986 and 300005004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288225 + ... + 289263.

It is an arithmetic number, because the mean of its divisors is an integer number (12004200).

Almost surely, 2300005016 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 300005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

300005016 is an abundant number, since it is smaller than the sum of its proper divisors (468263784).

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

300005016 is a wasteful number, since it uses less digits than its factorization.

300005016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 300005016 is about 17320.6528745310. The cubic root of 300005016 is about 669.4366810344.

Adding to 300005016 its reverse (610500003), we get a palindrome (910505019).

The spelling of 300005016 in words is "three hundred million, five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 227 318 424 454 636 681 908 1039 1272 1362 1816 2078 2724 3117 4156 5448 6234 8312 12031 12468 24062 24936 36093 48124 55067 72186 96248 110134 144372 165201 220268 235853 288744 330402 440536 471706 660804 707559 943412 1321608 1415118 1886824 2830236 5660472 12500209 25000418 37500627 50000836 75001254 100001672 150002508 300005016