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34324420133214 = 23218157559183037
BaseRepresentation
bin1111100110111110001101…
…10111101000000101011110
311111112101022212002210021200
413303133012313220011132
513444332403023230324
6201000230530340330
710141600062132441
oct763370667500536
9144471285083250
1034324420133214
11aa339a53694a2
123a24376a2a6a6
13161ca18403143
1486944cb8d658
153e7ccc272ec9
hex1f37c6de815e

34324420133214 has 48 divisors (see below), whose sum is σ = 74782166353440. Its totient is φ = 11378000975040.

The previous prime is 34324420133191. The next prime is 34324420133231. The reversal of 34324420133214 is 41233102442343.

34324420133214 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 4 + 420 + 13 + 3 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187435704 + ... + 187618740.

It is an arithmetic number, because the mean of its divisors is an integer number (1557961799030).

Almost surely, 234324420133214 is an apocalyptic number.

34324420133214 is an abundant number, since it is smaller than the sum of its proper divisors (40457746220226).

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

34324420133214 is a wasteful number, since it uses less digits than its factorization.

34324420133214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240785 (or 240782 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34324420133214 its reverse (41233102442343), we get a palindrome (75557522575557).

The spelling of 34324420133214 in words is "thirty-four trillion, three hundred twenty-four billion, four hundred twenty million, one hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 57559 115118 172677 183037 345354 366074 518031 549111 1036062 1098222 1647333 3294666 10418179 20836358 31254537 33129697 62509074 66259394 93763611 99389091 187527222 198778182 298167273 596334546 10535426683 21070853366 31606280049 63212560098 94818840147 189637680294 1906912229623 3813824459246 5720736688869 11441473377738 17162210066607 34324420133214