Monday, June 13, 2011

1424

1424 = 24 x 89.

1424 has a representation as a sum of two squares: 1424 = 202 + 322.

1424 is a number for which the sum of the reciprocals of the digits is an integer: 1/1 + 1/4 + 1/2 + 1/4 = 2.

1424 is the sum of four squares in exactly seven ways. It is the sum of four distinct squares in exactly two ways.

1424 uses only the digits 1, 2, and/or 4 in base 4 (112100), base 5 (21144), and base 10 (1424).

Hotel 1424 is in St. Helena, California.

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