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8304347844 = 223213472231693
BaseRepresentation
bin1111011101111101…
…00100101011000100
3210102202002120122200
413232332210223010
5114001403112334
63452010554500
7412534535442
oct75676445304
923382076580
108304347844
1135816514a1
121739138a30
13a24603bc0
1458ac8db92
153390b7799
hex1eefa4ac4

8304347844 has 144 divisors (see below), whose sum is σ = 23204493312. Its totient is φ = 2488133376.

The previous prime is 8304347839. The next prime is 8304347923. The reversal of 8304347844 is 4487434038.

It is a super-2 number, since 2×83043478442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8304347844.

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 47 ways as a sum of consecutive naturals, for example, 4904262 + ... + 4905954.

Almost surely, 28304347844 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 8304347844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602246656).

8304347844 is an abundant number, since it is smaller than the sum of its proper divisors (14900145468).

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

8304347844 is a wasteful number, since it uses less digits than its factorization.

8304347844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 8304347844 is about 91128.1945612882. The cubic root of 8304347844 is about 2025.0473265574.

The spelling of 8304347844 in words is "eight billion, three hundred four million, three hundred forty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 223 234 282 423 446 468 564 611 669 846 892 1222 1338 1692 1693 1833 2007 2444 2676 2899 3386 3666 4014 5079 5499 5798 6772 7332 8028 8697 10158 10481 10998 11596 15237 17394 20316 20962 21996 22009 26091 30474 31443 34788 41924 44018 52182 60948 62886 66027 79571 88036 94329 104364 125772 132054 136253 159142 188658 198081 238713 264108 272506 318284 377316 377539 396162 408759 477426 545012 716139 755078 792324 817518 954852 1034423 1132617 1226277 1432278 1510156 1635036 2068846 2265234 2452554 2864556 3103269 3397851 4137692 4530468 4905108 4908007 6206538 6795702 9309807 9816014 12413076 13591404 14724021 17744333 18619614 19632028 29448042 35488666 37239228 44172063 53232999 58896084 70977332 88344126 106465998 159698997 176688252 212931996 230676329 319397994 461352658 638795988 692028987 922705316 1384057974 2076086961 2768115948 4152173922 8304347844