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34541243324 = 2272322997829
BaseRepresentation
bin100000001010110100…
…011000101110111100
310022011020102222002022
4200022310120232330
51031220024241244
623511254415312
72331651503210
oct401264305674
9108136388068
1034541243324
11137156a4395
12683b961538
13334617c323
14195960c940
15d726626ee
hex80ad18bbc

34541243324 has 144 divisors (see below), whose sum is σ = 75568113600. Its totient is φ = 13514231808.

The previous prime is 34541243299. The next prime is 34541243339. The reversal of 34541243324 is 42334214543.

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, 41665742 + ... + 41666570.

Almost surely, 234541243324 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 34541243324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784056800).

34541243324 is an abundant number, since it is smaller than the sum of its proper divisors (41026870276).

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

34541243324 is a wasteful number, since it uses less digits than its factorization.

34541243324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 987 counting only the distinct ones).

The product of its digits is 138240, while the sum is 35.

Adding to 34541243324 its reverse (42334214543), we get a palindrome (76875457867).

The spelling of 34541243324 in words is "thirty-four billion, five hundred forty-one million, two hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 97 116 161 194 203 322 388 406 529 644 667 679 812 829 1058 1334 1358 1658 2116 2231 2668 2716 2813 3316 3703 4462 4669 5626 5803 7406 8924 9338 11252 11606 14812 15341 15617 18676 19067 19691 23212 24041 30682 31234 38134 39382 48082 51313 61364 62468 64699 76268 78764 80413 96164 102626 107387 129398 133469 160826 168287 205252 214774 258796 266938 321652 336574 359191 429548 438541 452893 533876 552943 562891 673148 718382 877082 905786 1105886 1125782 1436764 1488077 1754164 1811572 1849499 2211772 2251564 2331977 2976154 3069787 3698998 3870601 4663954 5952308 6139574 7397996 7741202 9327908 10416539 12279148 12717689 12946493 15482404 16323839 20833078 25435378 25892986 32647678 41666156 42538477 50870756 51785972 53635471 65295356 85076954 89023823 107270942 170153908 178047646 214541884 297769339 356095292 375448297 595538678 750896594 1191077356 1233615833 1501793188 2467231666 4934463332 8635310831 17270621662 34541243324