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991393344 = 2639787
BaseRepresentation
bin111011000101110…
…111011001000000
32120002111000000000
4323011313121000
54012244041334
6242213000000
733365463414
oct7305673100
92502430000
10991393344
11469685547
12238023000
1312a5158a6
149594ad44
155c081299
hex3b177640

991393344 has 140 divisors (see below), whose sum is σ = 2954643824. Its totient is φ = 330044544.

The previous prime is 991393303. The next prime is 991393367. The reversal of 991393344 is 443393199.

991393344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 991393344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259319 + ... + 1260105.

Almost surely, 2991393344 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 991393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477321912).

991393344 is an abundant number, since it is smaller than the sum of its proper divisors (1963250480).

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

991393344 is an frugal number, since it uses more digits than its factorization.

991393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 792 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 991393344 is about 31486.3993495604. The cubic root of 991393344 is about 997.1228445824.

The spelling of 991393344 in words is "nine hundred ninety-one million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 787 864 972 1296 1458 1574 1728 1944 2187 2361 2592 2916 3148 3888 4374 4722 5184 5832 6296 6561 7083 7776 8748 9444 11664 12592 13122 14166 15552 17496 18888 19683 21249 23328 25184 26244 28332 34992 37776 39366 42498 46656 50368 52488 56664 63747 69984 75552 78732 84996 104976 113328 127494 139968 151104 157464 169992 191241 209952 226656 254988 314928 339984 382482 419904 453312 509976 573723 629856 679968 764964 1019952 1147446 1259712 1359936 1529928 1721169 2039904 2294892 3059856 3442338 4079808 4589784 5163507 6119712 6884676 9179568 10327014 12239424 13769352 15490521 18359136 20654028 27538704 30981042 36718272 41308056 55077408 61962084 82616112 110154816 123924168 165232224 247848336 330464448 495696672 991393344