370

Number
$370$ (three hundred and seventy) is:


 * $2 \times 5 \times 37$


 * The $9$th non-square positive integer which cannot be expressed as the sum of a square and a prime:
 * $10$, $34$, $58$, $85$, $91$, $130$, $214$, $226$, $370$, $\ldots$


 * The $11$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $153$:
 * $3^3 + 7^3 + 0^3 = 27 + 343 + 0 = 370$


 * The $17$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1$, $10$, $25$, $34$, $58$, $64$, $85$, $91$, $121$, $130$, $169$, $196$, $214$, $226$, $289$, $324$, $370$, $\ldots$


 * The $40$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $290$, $310$, $318$, $322$, $345$, $354$, $357$, $366$:
 * $370 = 2 \times 5 \times 37$