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3385086726 = 2373112892017
BaseRepresentation
bin1100100111000100…
…0101001100000110
322201220122020000110
43021301011030012
523413040233401
61315522053450
7146612522340
oct31161051406
98656566013
103385086726
11148787a83a
127a57aa286
1341c403ac8
14241808290
1514c2ad9d6
hexc9c45306

3385086726 has 64 divisors (see below), whose sum is σ = 7997091840. Its totient is φ = 934778880.

The previous prime is 3385086659. The next prime is 3385086737. The reversal of 3385086726 is 6276805833.

It is a super-3 number, since 3×33850867263 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1677270 + ... + 1679286.

It is an arithmetic number, because the mean of its divisors is an integer number (124954560).

Almost surely, 23385086726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385086726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998545920).

3385086726 is an abundant number, since it is smaller than the sum of its proper divisors (4612005114).

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

3385086726 is a wasteful number, since it uses less digits than its factorization.

3385086726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3385086726 is about 58181.4981415914. The cubic root of 3385086726 is about 1501.4928435636.

The spelling of 3385086726 in words is "three billion, three hundred eighty-five million, eighty-six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1289 1302 2017 2578 3867 4034 6051 7734 9023 12102 14119 18046 27069 28238 39959 42357 54138 62527 79918 84714 119877 125054 187581 239754 279713 375162 437689 559426 839139 875378 1313067 1678278 2599913 2626134 5199826 7799739 15599478 18199391 36398782 54598173 80597303 109196346 161194606 241791909 483583818 564181121 1128362242 1692543363 3385086726