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2343541086 = 2371731517
BaseRepresentation
bin1000101110101111…
…1001100101011110
320001022210020000000
42023223321211132
514244421303321
61024314115130
7112034525205
oct21353714536
96038706000
102343541086
11aa2960117
12554a1baa6
132b46ab703
1418336423c
15dab22826
hex8baf995e

2343541086 has 64 divisors (see below), whose sum is σ = 5582468160. Its totient is φ = 735205248.

The previous prime is 2343541061. The next prime is 2343541199. The reversal of 2343541086 is 6801453432.

2343541086 is a `hidden beast` number, since 2 + 34 + 3 + 541 + 0 + 86 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2343541086.

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 31 ways as a sum of consecutive naturals, for example, 58600 + ... + 90116.

It is an arithmetic number, because the mean of its divisors is an integer number (87226065).

Almost surely, 22343541086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343541086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791234080).

2343541086 is an abundant number, since it is smaller than the sum of its proper divisors (3238927074).

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

2343541086 is an equidigital number, since it uses as much as digits as its factorization.

2343541086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557 (or 31539 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2343541086 is about 48410.1341249949. The cubic root of 2343541086 is about 1328.2837428829.

The spelling of 2343541086 in words is "two billion, three hundred forty-three million, five hundred forty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 8262 12393 24786 31517 37179 63034 74358 94551 189102 283653 535789 567306 850959 1071578 1607367 1701918 2552877 3214734 4822101 5105754 7658631 9644202 14466303 15317262 22975893 28932606 43398909 45951786 68927679 86797818 130196727 137855358 260393454 390590181 781180362 1171770543 2343541086