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34343022340 = 22511712173179
BaseRepresentation
bin11111111111000000…
…001110111100000100
310021122102110022000101
4133333000032330010
51030313303203330
623435454053444
72324023605364
oct377700167404
9107572408011
1034343022340
1113623816aa0
1267a54aa284
1333140989c3
14193b1709a4
15d6005a4ca
hex7ff00ef04

34343022340 has 144 divisors (see below), whose sum is σ = 80710136640. Its totient is φ = 12172921600.

The previous prime is 34343022323. The next prime is 34343022347. The reversal of 34343022340 is 4322034343.

It is a junction number, because it is equal to n+sod(n) for n = 34343022299 and 34343022308.

It is not an unprimeable number, because it can be changed into a prime (34343022347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191860371 + ... + 191860549.

It is an arithmetic number, because the mean of its divisors is an integer number (560487060).

Almost surely, 234343022340 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 34343022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40355068320).

34343022340 is an abundant number, since it is smaller than the sum of its proper divisors (46367114300).

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

34343022340 is a wasteful number, since it uses less digits than its factorization.

34343022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 34343022340 its reverse (4322034343), we get a palindrome (38665056683).

The spelling of 34343022340 in words is "thirty-four billion, three hundred forty-three million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 173 179 220 284 346 355 358 692 710 716 781 865 895 1420 1562 1730 1790 1903 1969 3124 3460 3580 3806 3905 3938 5041 7612 7810 7876 9515 9845 10082 12283 12709 15620 19030 19690 20164 24566 25205 25418 30967 38060 39380 49132 50410 50836 55451 61415 61934 63545 100820 110902 122830 123868 127090 135113 139799 154835 221804 245660 254180 270226 277255 279598 309670 340637 540452 554510 559196 619340 675565 681274 698995 872093 902339 1109020 1351130 1362548 1397990 1703185 1744186 1804678 2198657 2702260 2795980 3406370 3488372 3609356 4360465 4397314 4511695 6812740 8720930 8794628 9023390 9593023 9925729 10993285 17441860 18046780 19186046 19851458 21986570 24185227 38372092 39702916 43973140 47965115 48370454 49628645 95930230 96740908 99257290 120926135 156104647 191860460 198514580 241852270 312209294 483704540 624418588 780523235 1561046470 1717151117 3122092940 3434302234 6868604468 8585755585 17171511170 34343022340