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3381125188 = 2274114532027
BaseRepresentation
bin1100100110000111…
…1110000001000100
322201122011221210211
43021201332001010
523411032001223
61315301125204
7146534042560
oct31141760104
98648157724
103381125188
111485614441
127a43b9804
1341b6478bc
142410966a0
1514bc79d0d
hexc987e044

3381125188 has 48 divisors (see below), whose sum is σ = 6935370624. Its totient is φ = 1412040960.

The previous prime is 3381125179. The next prime is 3381125197. The reversal of 3381125188 is 8815211833.

It is an interprime number because it is at equal distance from previous prime (3381125179) and next prime (3381125197).

It is a super-2 number, since 2×33811251882 = 22864015073856070688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3381125188.

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 15 ways as a sum of consecutive naturals, for example, 1667031 + ... + 1669057.

It is an arithmetic number, because the mean of its divisors is an integer number (144486888).

Almost surely, 23381125188 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 3381125188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467685312).

3381125188 is an abundant number, since it is smaller than the sum of its proper divisors (3554245436).

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

3381125188 is a wasteful number, since it uses less digits than its factorization.

3381125188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3530 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 3381125188 is about 58147.4435207602. The cubic root of 3381125188 is about 1500.9068868529.

The spelling of 3381125188 in words is "three billion, three hundred eighty-one million, one hundred twenty-five thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 1453 2027 2906 4054 5812 8108 10171 14189 20342 28378 40684 56756 59573 83107 119146 166214 238292 332428 417011 581749 834022 1163498 1668044 2326996 2945231 5890462 11780924 20616617 41233234 82466468 120754471 241508942 483017884 845281297 1690562594 3381125188