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34344021222 = 2347234792749
BaseRepresentation
bin11111111111000100…
…000010110011100110
310021122111100001020000
4133333010002303212
51030314032134342
623435531322130
72324035235520
oct377704026346
9107574301200
1034344021222
1113624339515
1267a58b0346
133314358564
14193b350a10
15d601a644c
hex7ff102ce6

34344021222 has 160 divisors (see below), whose sum is σ = 91998720000. Its totient is φ = 9362941632.

The previous prime is 34344021211. The next prime is 34344021247. The reversal of 34344021222 is 22212044343.

34344021222 is a `hidden beast` number, since 3 + 4 + 3 + 440 + 212 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12491904 + ... + 12494652.

It is an arithmetic number, because the mean of its divisors is an integer number (574992000).

Almost surely, 234344021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34344021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45999360000).

34344021222 is an abundant number, since it is smaller than the sum of its proper divisors (57654698778).

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

34344021222 is a wasteful number, since it uses less digits than its factorization.

34344021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34344021222 its reverse (22212044343), we get a palindrome (56556065565).

The spelling of 34344021222 in words is "thirty-four billion, three hundred forty-four million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 479 483 567 621 958 966 1134 1242 1437 1449 1863 2749 2874 2898 3353 3726 4311 4347 5498 6706 8247 8622 8694 10059 11017 12933 13041 16494 19243 20118 22034 24741 25866 26082 30177 33051 38486 38799 49482 57729 60354 63227 66102 74223 77119 77598 90531 99153 115458 126454 148446 154238 173187 181062 189681 198306 222669 231357 271593 297459 346374 379362 442589 445338 462714 519561 543186 569043 594918 694071 885178 892377 1039122 1138086 1316771 1327767 1388142 1558683 1707129 1784754 2082213 2633542 2655534 3117366 3414258 3950313 3983301 4164426 5121387 6246639 7900626 7966602 9217397 10242774 11850939 11949903 12493278 18434794 23701878 23899806 27652191 30285733 35552817 35849709 55304382 60571466 71105634 71699418 82956573 90857199 106658451 165913146 181714398 212000131 213316902 248869719 272571597 424000262 497739438 545143194 636000393 746609157 817714791 1272000786 1493218314 1635429582 1908001179 2453144373 3816002358 4906288746 5724003537 11448007074 17172010611 34344021222