357

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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 $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:

$\map {\sigma_0} {357} = 8$, $\map \phi {357} = 192$, $\map {\sigma_1} {357} = 576$

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 divisor sum is square:

$\map {\sigma_1} {357} = 576 = 24^2$

The $38$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $290$, $310$, $318$, $322$, $345$, $354$:

$357 = 3 \times 7 \times 17$

Arithmetic Functions on $357$

\(\ds \map {\sigma_0} { 357 }\)

\(=\)

\(\ds 8\)

$\sigma_0$ of $357$

\(\ds \map \phi { 357 }\)

\(=\)

\(\ds 192\)

$\phi$ of $357$

\(\ds \map {\sigma_1} { 357 }\)

\(=\)

\(\ds 576\)

$\sigma_1$ of $357$

Also see

• Previous  ... Next: Numbers such that Divisor Count divides Phi divides Divisor Sum
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