Search a number
-
+
846068244 = 223731247223
BaseRepresentation
bin110010011011011…
…111101000010100
32011222000201102220
4302123133220110
53213043140434
6215542102340
726652314160
oct6233375024
92158021386
10846068244
113a464665a
121b741a9b0
131063927c8
148051bca0
154e426d49
hex326dfa14

846068244 has 144 divisors (see below), whose sum is σ = 2391588864. Its totient is φ = 227931840.

The previous prime is 846068173. The next prime is 846068263. The reversal of 846068244 is 442860648.

It is a super-3 number, since 3×8460682443 (a number of 28 digits) contains 333 as substring.

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 = 846068196 and 846068205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3793917 + ... + 3794139.

It is an arithmetic number, because the mean of its divisors is an integer number (16608256).

Almost surely, 2846068244 is an apocalyptic number.

846068244 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 846068244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195794432).

846068244 is an abundant number, since it is smaller than the sum of its proper divisors (1545520620).

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

846068244 is a wasteful number, since it uses less digits than its factorization.

846068244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 846068244 is about 29087.2522593661. The cubic root of 846068244 is about 945.8054195613.

The spelling of 846068244 in words is "eight hundred forty-six million, sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 223 282 329 372 434 446 564 651 658 669 868 892 961 987 1302 1316 1338 1457 1561 1922 1974 2604 2676 2883 2914 3122 3844 3948 4371 4683 5766 5828 6244 6727 6913 8742 9366 10199 10481 11532 13454 13826 17484 18732 20181 20398 20739 20962 26908 27652 30597 31443 40362 40796 41478 41924 45167 48391 61194 62886 73367 80724 82956 90334 96782 122388 125772 135501 145173 146734 180668 193564 214303 220101 271002 290346 293468 316169 324911 428606 440202 542004 580692 632338 642909 649822 857212 880404 948507 974733 1264676 1285818 1299644 1500121 1897014 1949466 2274377 2571636 3000242 3794028 3898932 4500363 4548754 6000484 6823131 9000726 9097508 10072241 13646262 18001452 20144482 27292524 30216723 40288964 60433446 70505687 120866892 141011374 211517061 282022748 423034122 846068244