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300000300 = 223521019901
BaseRepresentation
bin10001111000011…
…010010000101100
3202220111121001020
4101320122100230
51103300002200
645434014140
710301650305
oct2170322054
9686447036
10300000300
11144384736
1284577350
134a1cac92
142bbb37ac
151b50dea0
hex11e1a42c

300000300 has 72 divisors (see below), whose sum is σ = 876683472. Its totient is φ = 79200000.

The previous prime is 300000277. The next prime is 300000317. The reversal of 300000300 is 3000003.

300000300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25350 + ... + 35250.

Almost surely, 2300000300 is an apocalyptic number.

300000300 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 300000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438341736).

300000300 is an abundant number, since it is smaller than the sum of its proper divisors (576683172).

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

300000300 is a wasteful number, since it uses less digits than its factorization.

300000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 300000300 is about 17320.5167359406. The cubic root of 300000300 is about 669.4331732264.

Adding to 300000300 its reverse (3000003), we get a palindrome (303000303).

Multiplying 300000300 by its reverse (3000003), we get a square (900001800000900 = 300000302).

300000300 divided by its reverse (3000003) gives a square (100 = 102).

The spelling of 300000300 in words is "three hundred million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 9901 10100 15150 19802 29703 30300 39604 49505 59406 99010 118812 148515 198020 247525 297030 495050 594060 742575 990100 1000001 1485150 2000002 2970300 3000003 4000004 5000005 6000006 10000010 12000012 15000015 20000020 25000025 30000030 50000050 60000060 75000075 100000100 150000150 300000300