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3386088083 = 72354738449
BaseRepresentation
bin1100100111010011…
…1001101010010011
322201222112002121202
43021310321222103
523413314304313
61315555341415
7146624162630
oct31164715223
98658462552
103386088083
1114883a4104
127a5bb186b
1341c694821
142419c9187
1514c40a558
hexc9d39a93

3386088083 has 16 divisors (see below), whose sum is σ = 4045555200. Its totient is φ = 2771024256.

The previous prime is 3386088071. The next prime is 3386088103. The reversal of 3386088083 is 3808806833.

It is a happy number.

It is not a de Polignac number, because 3386088083 - 210 = 3386087059 is a prime.

It is a super-3 number, since 3×33860880833 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3386088383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68843 + ... + 107291.

It is an arithmetic number, because the mean of its divisors is an integer number (252847200).

Almost surely, 23386088083 is an apocalyptic number.

3386088083 is a deficient number, since it is larger than the sum of its proper divisors (659467117).

3386088083 is a wasteful number, since it uses less digits than its factorization.

3386088083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026.

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 3386088083 is about 58190.1029643358. The cubic root of 3386088083 is about 1501.6408833097.

The spelling of 3386088083 in words is "three billion, three hundred eighty-six million, eighty-eight thousand, eighty-three".

Divisors: 1 7 23 161 547 3829 12581 38449 88067 269143 884327 6190289 21031603 147221221 483726869 3386088083