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8341882380 = 223251331114997
BaseRepresentation
bin1111100010011011…
…10000011000001100
3210112100201112100200
413301031300120030
5114041010214010
63455431253500
7413501554536
oct76115603014
923470645320
108341882380
1135a0858777
12174981a290
13a2c3164a0
14591c60856
1533c52dcc0
hex1f137060c

8341882380 has 144 divisors (see below), whose sum is σ = 28129430784. Its totient is φ = 1987130880.

The previous prime is 8341882363. The next prime is 8341882387. The reversal of 8341882380 is 832881438.

8341882380 is a `hidden beast` number, since 83 + 418 + 82 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8341882387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15042 + ... + 130038.

Almost surely, 28341882380 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 8341882380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14064715392).

8341882380 is an abundant number, since it is smaller than the sum of its proper divisors (19787548404).

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

8341882380 is a wasteful number, since it uses less digits than its factorization.

8341882380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115056 (or 115051 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8341882380 is about 91333.9059714409. The cubic root of 8341882380 is about 2028.0937219621.

The spelling of 8341882380 in words is "eight billion, three hundred forty-one million, eight hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18135 24180 36270 72540 114997 229994 344991 459988 574985 689982 1034973 1149970 1379964 1494961 1724955 2069946 2299940 2989922 3449910 3564907 4139892 4484883 5174865 5979844 6899820 7129814 7474805 8969766 10349730 10694721 13454649 14259628 14949610 17824535 17939532 20699460 21389442 22424415 26909298 29899220 32084163 35649070 42778884 44848830 46343791 53473605 53818596 64168326 67273245 71298140 89697660 92687582 106947210 128336652 134546490 139031373 160420815 185375164 213894420 231718955 269092980 278062746 320841630 417094119 463437910 556125492 641683260 695156865 834188238 926875820 1390313730 1668376476 2085470595 2780627460 4170941190 8341882380