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8968344 = 23371123211
BaseRepresentation
bin100010001101…
…100010011000
3121212122020220
4202031202120
54243441334
6520120040
7136141530
oct42154230
917778226
108968344
115076060
123006020
131b20118
1412964c0
15bc2449
hex88d898

8968344 has 128 divisors (see below), whose sum is σ = 29306880. Its totient is φ = 2217600.

The previous prime is 8968339. The next prime is 8968357. The reversal of 8968344 is 4438698.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8968296 and 8968305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42399 + ... + 42609.

It is an arithmetic number, because the mean of its divisors is an integer number (228960).

Almost surely, 28968344 is an apocalyptic number.

8968344 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 8968344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653440).

8968344 is an abundant number, since it is smaller than the sum of its proper divisors (20338536).

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

8968344 is a wasteful number, since it uses less digits than its factorization.

8968344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 8968344 is about 2994.7193524603. The cubic root of 8968344 is about 207.7642175392.

The spelling of 8968344 in words is "eight million, nine hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 211 231 253 264 276 308 322 422 462 483 506 552 616 633 644 759 844 924 966 1012 1266 1288 1477 1518 1688 1771 1848 1932 2024 2321 2532 2954 3036 3542 3864 4431 4642 4853 5064 5313 5908 6072 6963 7084 8862 9284 9706 10626 11816 13926 14168 14559 16247 17724 18568 19412 21252 27852 29118 32494 33971 35448 38824 42504 48741 53383 55704 58236 64988 67942 97482 101913 106766 116472 129976 135884 160149 194964 203826 213532 271768 320298 373681 389928 407652 427064 640596 747362 815304 1121043 1281192 1494724 2242086 2989448 4484172 8968344