Wednesday, May 4, 2011

374

374 = 2 x 11 x17.

374 is the smallest number with eight representations as a sum of three positive squares: 374 = 12 + 72 + 182 = 22 + 32 + 192 = 22 + 92 + 172 = 32 + 132 + 142 = 52 + 52 + 182 = 62 + 72 + 172 = 62 + 132 + 132 = 72 + 102 + 152.

374 is 2444 in base 5, 1422 in base 6, 566 in base 8, and 455 in base 9.

374, 375, and 376 have the same number of divisors: 1, 2, 11, 17, 22, 34, 187, 374; 1, 3, 5, 15, 25, 75, 125, 375; 1, 2, 4, 8, 47, 94, 188, 376.

374 is a powerful number; it is the sum of positive powers of its digits.

CPR Engine 374 is on display in Vancouver, Canada. It pulled the first transcontinental train into the city on May 23, 1887.