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9714643344 = 2432789108287
BaseRepresentation
bin10010000110000100…
…11011000110010000
3221002000211000101100
421003002123012100
5124343422041334
64243550304400
7462511051230
oct110302330620
927060730340
109714643344
11413573236a
121a714b8100
13bba848893
146822c1cc0
153bcce2c99
hex24309b190

9714643344 has 120 divisors (see below), whose sum is σ = 31420846080. Its totient is φ = 2744400384.

The previous prime is 9714643343. The next prime is 9714643369. The reversal of 9714643344 is 4433464179.

It is a super-2 number, since 2×97146433442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9714643344.

It is not an unprimeable number, because it can be changed into a prime (9714643343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35569 + ... + 143855.

It is an arithmetic number, because the mean of its divisors is an integer number (261840384).

Almost surely, 29714643344 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 9714643344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15710423040).

9714643344 is an abundant number, since it is smaller than the sum of its proper divisors (21706202736).

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

9714643344 is a wasteful number, since it uses less digits than its factorization.

9714643344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108397 (or 108388 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 9714643344 is about 98562.8902985297. The cubic root of 9714643344 is about 2133.7438725098.

The spelling of 9714643344 in words is "nine billion, seven hundred fourteen million, six hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 89712 108287 216574 324861 433148 649722 758009 866296 974583 1299444 1516018 1732592 1949166 2274027 2598888 3032036 3898332 4548054 5197776 6064072 6822081 7796664 9096108 9637543 12128144 13644162 15593328 18192216 19275086 27288324 28912629 36384432 38550172 54576648 57825258 67462801 77100344 86737887 109153296 115650516 134925602 154200688 173475774 202388403 231301032 269851204 346951548 404776806 462602064 539702408 607165209 693903096 809553612 1079404816 1214330418 1387806192 1619107224 2428660836 3238214448 4857321672 9714643344