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34442100300 = 22352176753353
BaseRepresentation
bin100000000100111010…
…001011111001001100
310021220022212222102110
4200010322023321030
51031014134202200
623453353424020
72326336010406
oct400472137114
9107808788373
1034442100300
1113674738803
12681270b010
13332b77890a
14194a3a1b76
15d68acbb50
hex804e8be4c

34442100300 has 72 divisors (see below), whose sum is σ = 105514402896. Its totient is φ = 8644290560.

The previous prime is 34442100271. The next prime is 34442100323. The reversal of 34442100300 is 300124443.

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, 3371577 + ... + 3381776.

It is an arithmetic number, because the mean of its divisors is an integer number (1465477818).

Almost surely, 234442100300 is an apocalyptic number.

34442100300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34442100300 is an abundant number, since it is smaller than the sum of its proper divisors (71072302596).

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

34442100300 is a wasteful number, since it uses less digits than its factorization.

34442100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753387 (or 6753380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34442100300 its reverse (300124443), we get a palindrome (34742224743).

The spelling of 34442100300 in words is "thirty-four billion, four hundred forty-two million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 6753353 13506706 20260059 27013412 33766765 40520118 67533530 81040236 101300295 114807001 135067060 168833825 202600590 229614002 337667650 344421003 405201180 459228004 506501475 574035005 675335300 688842006 1013002950 1148070010 1377684012 1722105015 2026005900 2296140020 2870175025 3444210030 5740350050 6888420060 8610525075 11480700100 17221050150 34442100300