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8044344 = 23327111451
BaseRepresentation
bin11110101011111100111000
3120010200202200
4132223330320
54024404334
6444230200
7125242620
oct36537470
916120680
108044344
1145a4920
12283b360
131888689
1410d5880
15a8d799
hex7abf38

8044344 has 96 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 2088000.

The previous prime is 8044343. The next prime is 8044363. The reversal of 8044344 is 4434408.

It is a super-2 number, since 2×80443442 = 129422940780672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8044343) 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, 4819 + ... + 6269.

It is an arithmetic number, because the mean of its divisors is an integer number (283140).

Almost surely, 28044344 is an apocalyptic number.

8044344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8044344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720).

8044344 is an abundant number, since it is smaller than the sum of its proper divisors (19137096).

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

8044344 is a wasteful number, since it uses less digits than its factorization.

8044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8044344 is about 2836.2552776504. The cubic root of 8044344 is about 200.3688526537.

The spelling of 8044344 in words is "eight million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1451 1848 2772 2902 4353 5544 5804 8706 10157 11608 13059 15961 17412 20314 26118 30471 31922 34824 40628 47883 52236 60942 63844 81256 91413 95766 104472 111727 121884 127688 143649 182826 191532 223454 243768 287298 335181 365652 383064 446908 574596 670362 731304 893816 1005543 1149192 1340724 2011086 2681448 4022172 8044344