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How many perfect cubes below 10^6 can be expressed as the sum of two or more unique integer factorials ?

List them all.

Examples: 2!+3!=8; 1!+2!+4!=27.

Rem: 0! is not allowed.

(No Solution Yet, 1 Comments) Submitted on 2018-06-23 by Ady TZIDON   
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You have nine brass rings, but three are actually gold. Can you pick these out using a balance scale three times at the most?
(Solution Posted, 14 Comments) Submitted on 2005-06-23 by Old Original Oskar!   
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