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344191075685 = 5374197467813
BaseRepresentation
bin1010000001000110110…
…00110000010101100101
31012220102021020021020222
411000203120300111211
521114400403410220
6422041425134125
733603242604602
oct5004330602545
91186367207228
10344191075685
11122a74986556
1256858a8a345
13265c3283ac2
14129321a16a9
158e470b0e25
hex5023630565

344191075685 has 32 divisors (see below), whose sum is σ = 439019112672. Its totient is φ = 258681323520.

The previous prime is 344191075681. The next prime is 344191075691. The reversal of 344191075685 is 586570191443.

It is a Cunningham number, because it is equal to 5866782+1.

It can be written as a sum of positive squares in 16 ways, for example, as 36203814529 + 307987261156 = 190273^2 + 554966^2 .

It is not a de Polignac number, because 344191075685 - 22 = 344191075681 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344191075681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501839 + ... + 969651.

It is an arithmetic number, because the mean of its divisors is an integer number (13719347271).

Almost surely, 2344191075685 is an apocalyptic number.

It is an amenable number.

344191075685 is a deficient number, since it is larger than the sum of its proper divisors (94828036987).

344191075685 is a wasteful number, since it uses less digits than its factorization.

344191075685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467993.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 344191075685 in words is "three hundred forty-four billion, one hundred ninety-one million, seventy-five thousand, six hundred eighty-five".

Divisors: 1 5 37 41 97 185 205 485 1517 3589 3977 7585 17945 19885 147149 467813 735745 2339065 17309081 19180333 45377861 86545405 95901665 226889305 709672321 1678980857 1860492301 3548361605 8394904285 9302461505 68838215137 344191075685