3364

Number
$3364$ (three thousand, three hundred and sixty-four) is:


 * $2^2 \times 29^2$


 * The $58$th square number after $1, 4, 9, 16, 25, 36, \ldots, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249$:
 * $3364 = 58 \times 58$


 * The $47$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $2209$, $2304$, $2500$, $2809$, $2986$, $3136$, $3364$, $\ldots$