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288

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This article is under construction.            

Please do not rely on any information it contains.            


288 is an integer.

Membership in core sequences

Even numbers ..., 282, 284, 286, 288, 290, 292, 294, ... A005843
Composite numbers ..., 285, 286, 287, 288, 289, 290, 291, ... A002808
Abundant numbers ..., 276, 280, 282, 288, 294, 300, 304, ... A005101

Sequences pertaining to 288

Multiples of 288 288, 576, 864, 1152, 1440, 1728, 2016, 2304, 2592, 2880, 3168, 3456, ...
Divisors of 288 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288 A018376

Partitions of 288

There are X partitions of 288.

The Goldbach representations of 288 are FILL IN.

There are seven ways to express 288 as a sum of its distinct divisors: FILL IN.

Roots and powers of 288

In the table below, irrational numbers are given truncated to eight decimal places.

TABLE GOES HERE

Values for number theoretic functions with 288 as an argument

TABLE GOES HERE

Factorization of 288 in some quadratic integer rings

REMARKS GO HERE

TABLE GOES HERE

Representation of 288 in various bases

Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Representation 100100000 101200 10200 2123 1200 561 440 350 288 242 200 192 168 143 120 GG G0 F3 E8

Note that in decimal, 288 is neither a palindrome nor a square. Then 288 × 882 = 254016 = 504 2; it is the smallest number to have this property.

See also

Some integers
0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
1729

References