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20341434300 = 223521131198841
BaseRepresentation
bin10010111100011100…
…011010011110111100
31221111121222221001120
4102330130122132330
5313124401344200
613202243310540
71320036224115
oct227434323674
957447887046
1020341434300
118699233730
123b3837b450
131bc2352075
14dad7a320c
157e0c119a0
hex4bc71a7bc

20341434300 has 144 divisors (see below), whose sum is σ = 66276424704. Its totient is φ = 4772160000.

The previous prime is 20341434271. The next prime is 20341434353. The reversal of 20341434300 is 343414302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2880 + ... + 201720.

Almost surely, 220341434300 is an apocalyptic number.

20341434300 is a gapful number since it is divisible by the number (20) 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 20341434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33138212352).

20341434300 is an abundant number, since it is smaller than the sum of its proper divisors (45934990404).

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

20341434300 is a wasteful number, since it uses less digits than its factorization.

20341434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198900 (or 198893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20341434300 its reverse (343414302), we get a palindrome (20684848602).

The spelling of 20341434300 in words is "twenty billion, three hundred forty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 198841 397682 596523 795364 994205 1193046 1988410 2187251 2386092 2982615 3976820 4374502 4971025 5965230 6164071 6561753 8749004 9942050 10936255 11930460 12328142 13123506 14913075 18492213 19884100 21872510 24656284 26247012 29826150 30820355 32808765 36984426 43745020 54681275 59652300 61640710 65617530 67804781 73968852 92461065 109362550 123281420 131235060 135609562 154101775 164043825 184922130 203414343 218725100 271219124 308203550 328087650 339023905 369844260 406828686 462305325 616407100 656175300 678047810 813657372 924610650 1017071715 1356095620 1695119525 1849221300 2034143430 3390239050 4068286860 5085358575 6780478100 10170717150 20341434300