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34610332341 = 31319295315817
BaseRepresentation
bin100000001110111011…
…111100001010110101
310022100001110001101210
4200032323330022311
51031340221113331
623522203312033
72333450654004
oct401673741265
9108301401353
1034610332341
11137506a2a52
12685ab1b619
13335758c2c0
141964874c3b
15d7875d446
hex80eefc2b5

34610332341 has 32 divisors (see below), whose sum is σ = 52333536640. Its totient is φ = 20169575424.

The previous prime is 34610332277. The next prime is 34610332363. The reversal of 34610332341 is 14323301643.

It is not a de Polignac number, because 34610332341 - 26 = 34610332277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34610332299 and 34610332308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34610382341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2180265 + ... + 2196081.

It is an arithmetic number, because the mean of its divisors is an integer number (1635423020).

Almost surely, 234610332341 is an apocalyptic number.

It is an amenable number.

34610332341 is a deficient number, since it is larger than the sum of its proper divisors (17723204299).

34610332341 is a wasteful number, since it uses less digits than its factorization.

34610332341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18805.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34610332341 its reverse (14323301643), we get a palindrome (48933633984).

The spelling of 34610332341 in words is "thirty-four billion, six hundred ten million, three hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 2953 8859 15817 38389 47451 56107 115167 168321 205621 300523 616863 729391 901569 2188173 3906799 11720397 46707601 140122803 607198813 887444419 1821596439 2662333257 11536777447 34610332341