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34341340111320 = 233511241131078927
BaseRepresentation
bin1111100111011101101110…
…11000001110000111011000
311111121000000001000201210110
413303232313120032013120
514000122031032030240
6201012105512244320
710143036264436614
oct763566730160730
9144530001021713
1034341340111320
11aa40098241480
123a276b93a06a0
1316214b39591c8
1486a1b5d9c344
153e846c8dec80
hex1f3bb760e1d8

34341340111320 has 128 divisors (see below), whose sum is σ = 112394605501440. Its totient is φ = 8324820387840.

The previous prime is 34341340111261. The next prime is 34341340111361. The reversal of 34341340111320 is 2311104314343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31289697 + ... + 32368623.

It is an arithmetic number, because the mean of its divisors is an integer number (878082855480).

Almost surely, 234341340111320 is an apocalyptic number.

34341340111320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34341340111320 is an abundant number, since it is smaller than the sum of its proper divisors (78053265390120).

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

34341340111320 is a wasteful number, since it uses less digits than its factorization.

34341340111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103065 (or 1103061 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34341340111320 its reverse (2311104314343), we get a palindrome (36652444425663).

The spelling of 34341340111320 in words is "thirty-four trillion, three hundred forty-one billion, three hundred forty million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 24113 48226 72339 96452 120565 144678 192904 241130 265243 289356 361695 482260 530486 578712 723390 795729 964520 1060972 1078927 1326215 1446780 1591458 2121944 2157854 2652430 2893560 3182916 3236781 3978645 4315708 5304860 5394635 6365832 6473562 7957290 8631416 10609720 10789270 11868197 12947124 15914580 16183905 21578540 23736394 25894248 31829160 32367810 35604591 43157080 47472788 59340985 64735620 71209182 94945576 118681970 129471240 142418364 178022955 237363940 284836728 356045910 474727880 712091820 1424183640 26016166751 52032333502 78048500253 104064667004 130080833755 156097000506 208129334008 260161667510 286177834261 312194001012 390242501265 520323335020 572355668522 624388002024 780485002530 858533502783 1040646670040 1144711337044 1430889171305 1560970005060 1717067005566 2289422674088 2861778342610 3121940010120 3434134011132 4292667513915 5723556685220 6868268022264 8585335027830 11447113370440 17170670055660 34341340111320