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34314032003334 = 23191249240993019
BaseRepresentation
bin1111100110101010110111…
…01100000011100100000110
311111111101111220000010001120
413303111123230003210012
513444200114143101314
6200551352040534410
710141051462364466
oct763253354034406
9144441456003046
1034314032003334
11aa2a554556796
123a22357a81406
13161ba5119c225
14868b45275ba6
153e78c02988a9
hex1f355bb03906

34314032003334 has 32 divisors (see below), whose sum is σ = 72297906000000. Its totient is φ = 10827334312704.

The previous prime is 34314032003333. The next prime is 34314032003387. The reversal of 34314032003334 is 43330023041343.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34314032003295 and 34314032003304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314032003333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120354124 + ... + 120638895.

It is an arithmetic number, because the mean of its divisors is an integer number (2259309562500).

Almost surely, 234314032003334 is an apocalyptic number.

34314032003334 is an abundant number, since it is smaller than the sum of its proper divisors (37983873996666).

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

34314032003334 is a wasteful number, since it uses less digits than its factorization.

34314032003334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240994292.

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 34314032003334 its reverse (43330023041343), we get a palindrome (77644055044677).

The spelling of 34314032003334 in words is "thirty-four trillion, three hundred fourteen billion, thirty-two million, three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 114 1249 2498 3747 7494 23731 47462 71193 142386 240993019 481986038 722979057 1445958114 4578867361 9157734722 13736602083 27473204166 301000280731 602000561462 903000842193 1806001684386 5719005333889 11438010667778 17157016001667 34314032003334