Tuesday, August 17, 2010

368

368 = 24 x 23.

368 is the number of ways to tile a 4 x 15 rectangle with pentominoes.

368 is the sum of three positive cubes: 368 = 63 + 53 + 33.

368 is a number that cannot be written as a sum of three squares.

368 is a Leyland number.

In 2009, The Princeton Review published the guide: The Best 368 Colleges.

1 comment:

Anonymous said...

Other properties of the number 368:
368, represented as 3^3-6^6+8^8=16,730.587, is prime, see http://primes.edu/curios
368 divides 47^2-1 -> 1/6
Pentomino 368 is a number, one of the classes of polyominoes consisting of a geometric figure made up of five squares joined at their sides. See
http://es.Wikipedia.org/wiki/pentomino or
http://mathworld.wolfram.com/Pentomino
368 is a number of Wolstenholme, see http://mathworld.wolfram.com/WolstenholmeNumber and A111354
368 can be represented as
368=6^2+6^2+10^2+14^2=4^2+8^2+12^2+12^2
368=7^3+5^2
368=3^6-19^2=2^9-12^2
368 is a Pythagorean triple
368^2+33855^2=33857^2
368 can be represented as a sum or difference of a square with a cousin
368=1^2+367=3^2+359=13^2+199=17^2+79=19^2+7
368=21^2-73
Further partners
368=5^4-257
Rafael Parra Machio