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8842034304 = 27332699511
BaseRepresentation
bin10000011110000011…
…01011110010000000
3211211012211212211000
420033001223302000
5121102030044204
64021215252000
7432054023445
oct101701536200
924735755730
108842034304
113828109274
12186921a000
13aabb2277c
145dc4559cc
1536b3c7039
hex20f06bc80

8842034304 has 128 divisors (see below), whose sum is σ = 26196048000. Its totient is φ = 2936079360.

The previous prime is 8842034297. The next prime is 8842034317. The reversal of 8842034304 is 4034302488.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×88420343042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924909 + ... + 934419.

It is an arithmetic number, because the mean of its divisors is an integer number (204656625).

Almost surely, 28842034304 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 8842034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098024000).

8842034304 is an abundant number, since it is smaller than the sum of its proper divisors (17354013696).

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

8842034304 is a wasteful number, since it uses less digits than its factorization.

8842034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8842034304 is about 94032.0918835692. The cubic root of 8842034304 is about 2067.8422211508.

The spelling of 8842034304 in words is "eight billion, eight hundred forty-two million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 269 288 384 432 538 576 807 864 1076 1152 1614 1728 2152 2421 3228 3456 4304 4842 6456 7263 8608 9511 9684 12912 14526 17216 19022 19368 25824 28533 29052 34432 38044 38736 51648 57066 58104 76088 77472 85599 103296 114132 116208 152176 154944 171198 228264 232416 256797 304352 309888 342396 456528 464832 513594 608704 684792 913056 929664 1027188 1217408 1369584 1826112 2054376 2558459 2739168 3652224 4108752 5116918 5478336 7675377 8217504 10233836 10956672 15350754 16435008 20467672 23026131 30701508 32870016 40935344 46052262 61403016 69078393 81870688 92104524 122806032 138156786 163741376 184209048 245612064 276313572 327482752 368418096 491224128 552627144 736836192 982448256 1105254288 1473672384 2210508576 2947344768 4421017152 8842034304