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329274986260 = 225114321734679
BaseRepresentation
bin1001100101010100101…
…00011000111100010100
31011110220201222102020111
410302222110120330110
520343323344030020
6411133345412404
732534512126453
oct4625224307424
91143821872214
10329274986260
11117710166820
125399563a104
1325086c3709c
1411d19180b9a
158872823d5a
hex4caa518f14

329274986260 has 144 divisors (see below), whose sum is σ = 776919911040. Its totient is φ = 116250919680.

The previous prime is 329274986251. The next prime is 329274986353. The reversal of 329274986260 is 62689472923.

It is a junction number, because it is equal to n+sod(n) for n = 329274986195 and 329274986204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70370601 + ... + 70375279.

It is an arithmetic number, because the mean of its divisors is an integer number (5395277160).

Almost surely, 2329274986260 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 329274986260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388459955520).

329274986260 is an abundant number, since it is smaller than the sum of its proper divisors (447644924780).

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

329274986260 is a wasteful number, since it uses less digits than its factorization.

329274986260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 329274986260 in words is "three hundred twenty-nine billion, two hundred seventy-four million, nine hundred eighty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 173 215 220 346 430 473 692 860 865 946 1730 1849 1892 1903 2365 3460 3698 3806 4679 4730 7396 7439 7612 9245 9358 9460 9515 14878 18490 18716 19030 20339 23395 29756 36980 37195 38060 40678 46790 51469 74390 81356 81829 93580 101695 102938 148780 163658 201197 203390 205876 257345 319877 327316 402394 406780 409145 514690 639754 804788 809467 818290 1005985 1029380 1279508 1599385 1618934 1636580 2011970 2213167 3198770 3237868 3518647 4023940 4047335 4426334 6397540 7037294 8094670 8651471 8852668 8904137 11065835 14074588 16189340 17302942 17593235 17808274 22131670 34605884 34807081 35186470 35616548 43257355 44263340 44520685 69614162 70372940 86514710 89041370 95166181 139228324 173029420 174035405 178082740 190332362 348070810 380664724 382877891 475830905 696141620 765755782 951661810 1496704483 1531511564 1903323620 1914389455 2993408966 3828778910 5986817932 7483522415 7657557820 14967044830 16463749313 29934089660 32927498626 65854997252 82318746565 164637493130 329274986260