351,120

Number

$351 \, 120$ (three hundred and fifty-one thousand, one hundred and twenty) is:

$2^4 \times 3 \times 5 \times 7 \times 11 \times 19$

Can be represented as the sum of $3$, $4$, $5$, $6$, $7$ or $8$ cubes:

$\ds \qquad \ \ $

$\ds 351120^3$

$=$

$\ds 175560^3 + 234080^3 + 292600^3$

$\ds $

$=$

$\ds 2 \times 87780^3 + 204820^3 + 321860^3$

$\ds $

$=$

$\ds 2 \times 87780^3 + 175560^3 + 2 \times 263340^3$

$\ds $

$=$

$\ds 3 \times 117040^3 + 3 \times 234080^3$

$\ds $

$=$

$\ds 2 \times 58520^3 + 117040^3 + 3 \times 175560^3 + 292600^3$

$\ds $

$=$

$\ds 8 \times 175560^3$