Search a number
-
+
3444670944 = 2532111383641
BaseRepresentation
bin1100110101010001…
…1000000111100000
322220001202102012100
43031110120013200
524023313432234
61325451130400
7151235135301
oct31524300740
98801672170
103444670944
1115084772a0
12801743a00
1342b866740
142496b87a8
1515262d399
hexcd5181e0

3444670944 has 144 divisors (see below), whose sum is σ = 11508470064. Its totient is φ = 963532800.

The previous prime is 3444670909. The next prime is 3444670967. The reversal of 3444670944 is 4490764443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34446709442 = 23731515824875702272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3444670944.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 637 + ... + 83004.

It is an arithmetic number, because the mean of its divisors is an integer number (79919931).

Almost surely, 23444670944 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 3444670944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754235032).

3444670944 is an abundant number, since it is smaller than the sum of its proper divisors (8063799120).

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

3444670944 is a wasteful number, since it uses less digits than its factorization.

3444670944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83681 (or 83670 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3444670944 is about 58691.3191536875. The cubic root of 3444670944 is about 1510.2514009147.

The spelling of 3444670944 in words is "three billion, four hundred forty-four million, six hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 83641 167282 250923 334564 501846 669128 752769 920051 1003692 1087333 1338256 1505538 1840102 2007384 2174666 2676512 2760153 3011076 3261999 3680204 4014768 4349332 5520306 6022152 6523998 7360408 8029536 8280459 8698664 9785997 11040612 11960663 12044304 13047996 14720816 16560918 17397328 19571994 22081224 23921326 24088608 26095992 29441632 33121836 34794656 35881989 39143988 44162448 47842652 52191984 66243672 71763978 78287976 88324896 95685304 104383968 107645967 132487344 143527956 156575952 191370608 215291934 264974688 287055912 313151904 382741216 430583868 574111824 861167736 1148223648 1722335472 3444670944