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12344345700 = 22352311327349
BaseRepresentation
bin10110111111100011…
…11100010001100100
31011212022001201211220
423133301330101210
5200240123030300
65400530100340
7614622131031
oct133761742144
934768051756
1012344345700
1152650746a5
12248611a6b0
1312195bb18b
14851656388
154c3addda0
hex2dfc7c464

12344345700 has 72 divisors (see below), whose sum is σ = 36868473600. Its totient is φ = 3185635200.

The previous prime is 12344345687. The next prime is 12344345743. The reversal of 12344345700 is 754344321.

It is a super-2 number, since 2×123443457002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654375 + ... + 672974.

Almost surely, 212344345700 is an apocalyptic number.

12344345700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344345700 is an abundant number, since it is smaller than the sum of its proper divisors (24524127900).

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

12344345700 is a wasteful number, since it uses less digits than its factorization.

12344345700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327397 (or 1327390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 12344345700 in words is "twelve billion, three hundred forty-four million, three hundred forty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 1327349 2654698 3982047 5309396 6636745 7964094 13273490 15928188 19910235 26546980 33183725 39820470 41147819 66367450 79640940 82295638 99551175 123443457 132734900 164591276 199102350 205739095 246886914 398204700 411478190 493773828 617217285 822956380 1028695475 1234434570 2057390950 2468869140 3086086425 4114781900 6172172850 12344345700