357

Number
$357$ (three hundred and fifty-seven) is:


 * $3 \times 7 \times 17$


 * The $16$th integer $n$ after $1$, $3$, $15$, $30$, $35$, $56$, $70$, $78$, $105$, $140$, $168$, $190$, $210$, $248$, $264$ with the property that $\map \tau n \divides \map \phi n \divides \map \sigma n$:
 * $\map \tau {357} = 8$, $\map \phi {357} = 192$, $\map \sigma {357} = 576$


 * The $20$th number after $1$, $3$, $22$, $66$, $70$, $81$, $94$, $115$, $119$, $170$, $210$, $214$, $217$, $265$, $282$, $310$, $322$, $343$, $345$ whose $\sigma$ value is square:


 * The $38$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $290$, $310$, $318$, $322$, $345$, $354$:
 * $357 = 3 \times 7 \times 17$