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34243322256 = 243211131662943
BaseRepresentation
bin11111111001000011…
…111010000110010000
310021101110212000012200
4133321003322012100
51030112242303011
623421533123200
72321403302523
oct377103720620
9107343760180
1034243322256
111358250a930
126778029500
1332c952b880
14192bc1abba
15d56414856
hex7f90fa190

34243322256 has 120 divisors (see below), whose sum is σ = 112587960576. Its totient is φ = 9578545920.

The previous prime is 34243322227. The next prime is 34243322257. The reversal of 34243322256 is 65222334243.

34243322256 is a `hidden beast` number, since 3 + 42 + 43 + 322 + 256 = 666.

It is a super-3 number, since 3×342433222563 (a number of 33 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34243322256.

It is not an unprimeable number, because it can be changed into a prime (34243322257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810880 + ... + 852063.

Almost surely, 234243322256 is an apocalyptic number.

34243322256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34243322256 is an abundant number, since it is smaller than the sum of its proper divisors (78344638320).

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

34243322256 is a wasteful number, since it uses less digits than its factorization.

34243322256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662981 (or 1662972 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 34243322256 its reverse (65222334243), we get a palindrome (99465656499).

The spelling of 34243322256 in words is "thirty-four billion, two hundred forty-three million, three hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 1662943 3325886 4988829 6651772 9977658 13303544 14966487 18292373 19955316 21618259 26607088 29932974 36584746 39910632 43236518 54877119 59865948 64854777 73169492 79821264 86473036 109754238 119731896 129709554 146338984 164631357 172946072 194564331 219508476 237800849 239463792 259419108 292677968 329262714 345892144 389128662 439016952 475601698 518838216 658525428 713402547 778257324 878033904 951203396 1037676432 1317050856 1426805094 1556514648 1902406792 2140207641 2634101712 2853610188 3113029296 3804813584 4280415282 5707220376 8560830564 11414440752 17121661128 34243322256