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3442317912 = 2334113311459
BaseRepresentation
bin1100110100101101…
…1001101001011000
322212220022212110000
43031023121221120
524022213133122
61325324453000
7151206135165
oct31513315130
98786285400
103442317912
11150710a440
128009aa160
1342b221707
1424926506c
151523160ac
hexcd2d9a58

3442317912 has 160 divisors (see below), whose sum is σ = 10557201600. Its totient is φ = 1039262400.

The previous prime is 3442317883. The next prime is 3442317941. The reversal of 3442317912 is 2197132443.

It is a happy number.

3442317912 is a `hidden beast` number, since 344 + 231 + 79 + 12 = 666.

3442317912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3442317883) and next prime (3442317941).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2358639 + ... + 2360097.

It is an arithmetic number, because the mean of its divisors is an integer number (65982510).

Almost surely, 23442317912 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 3442317912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278600800).

3442317912 is an abundant number, since it is smaller than the sum of its proper divisors (7114883688).

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

3442317912 is a wasteful number, since it uses less digits than its factorization.

3442317912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3442317912 is about 58671.2699027386. The cubic root of 3442317912 is about 1509.9074416608.

The spelling of 3442317912 in words is "three billion, four hundred forty-two million, three hundred seventeen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 331 396 594 648 662 792 891 993 1188 1324 1459 1782 1986 2376 2648 2918 2979 3564 3641 3972 4377 5836 5958 7128 7282 7944 8754 8937 10923 11672 11916 13131 14564 16049 17508 17874 21846 23832 26262 26811 29128 32098 32769 35016 35748 39393 43692 48147 52524 53622 64196 65538 71496 78786 87384 96294 98307 105048 107244 118179 128392 131076 144441 157572 192588 196614 214488 236358 262152 288882 294921 315144 385176 393228 433323 472716 482929 577764 589842 786456 866646 945432 965858 1155528 1179684 1299969 1448787 1733292 1931716 2359368 2599938 2897574 3466584 3863432 4346361 5199876 5312219 5795148 8692722 10399752 10624438 11590296 13039083 15936657 17385444 21248876 26078166 31873314 34770888 39117249 42497752 47809971 52156332 63746628 78234498 95619942 104312664 127493256 143429913 156468996 191239884 286859826 312937992 382479768 430289739 573719652 860579478 1147439304 1721158956 3442317912