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8343432664 = 237259935533
BaseRepresentation
bin1111100010100111…
…01010110111011000
3210112110122021221121
413301103222313120
5114041404321124
63455524415024
7413521002400
oct76123526730
923473567847
108343432664
1135a17174a6
12174a247474
13a2c73a008
14592145800
1533c7382e4
hex1f14eadd8

8343432664 has 48 divisors (see below), whose sum is σ = 18228942000. Its totient is φ = 3569686848.

The previous prime is 8343432599. The next prime is 8343432707. The reversal of 8343432664 is 4662343438.

It is a super-2 number, since 2×83434326642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8343432664.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 217042 + ... + 252574.

It is an arithmetic number, because the mean of its divisors is an integer number (379769625).

Almost surely, 28343432664 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 8343432664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114471000).

8343432664 is an abundant number, since it is smaller than the sum of its proper divisors (9885509336).

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

8343432664 is a wasteful number, since it uses less digits than its factorization.

8343432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36152 (or 36141 counting only the distinct ones).

The product of its digits is 995328, while the sum is 43.

The square root of 8343432664 is about 91342.3924801622. The cubic root of 8343432664 is about 2028.2193501418.

The spelling of 8343432664 in words is "eight billion, three hundred forty-three million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 599 1198 2396 4193 4792 8386 16772 29351 33544 35533 58702 71066 117404 142132 234808 248731 284264 497462 994924 1741117 1989848 3482234 6964468 13928936 21284267 42568534 85137068 148989869 170274136 297979738 595959476 1042929083 1191918952 2085858166 4171716332 8343432664