Friday 30 December 2011

Friday 30 December

Today is 364 day of the year.
364 = 2^2 x 7 x 13
364 is the thirteenth number if the series of tetrahedral (or triangular pyramidal) numbers.
364 is in the following primitive, Pythagorean triples;
(27, 364, 365), (364, 627, 725), (364, 33123, 33125)
364 = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53, i.e. the sum of twelve consecutive primes.
364 is one of only seven positive numbers where (28 x n) / (28 + n) yields an integer. The complete sequence is 21, 28, 70, 84, 168, 364, 756.
364 is palindromic in base 3 ( 1, 1, 1, 1, 1, 1), base 9 (4, 4, 4), base 25 (14, 14), base 27 (13, 13), base 51 (7, 7), base 90 (4, 4) and base 181 (2, 2).

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