264
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Number
$264$ (two hundred and sixty-four) is:
- $2^3 \times 3 \times 11$
- The $2$nd non-palindromic square root after $26$ of a palindromic square:
- $264^2 = 69 \, 696$
- The $6$th integer after $1$, $14$, $30$, $105$, $248$ whose divisor sum divided by its Euler $\phi$ value is a square:
- $\dfrac {\map {\sigma_1} {264} } {\map \phi {264} } = \dfrac {720} {80} = 9 = 3^2$
- The $15$th integer $n$ after $1, 3, 15, 30, 35, 56, 70, 78, 105, 140, 168, 190, 210, 248$ with the property that $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:
- $\map {\sigma_0} {264} = 16$, $\map \phi {264} = 80$, $\map {\sigma_1} {264} = 720$
Arithmetic Functions on $264$
\(\ds \map {\sigma_0} { 264 }\) | \(=\) | \(\ds 16\) | $\sigma_0$ of $264$ | |||||||||||
\(\ds \map \phi { 264 }\) | \(=\) | \(\ds 80\) | $\phi$ of $264$ | |||||||||||
\(\ds \map {\sigma_1} { 264 }\) | \(=\) | \(\ds 720\) | $\sigma_1$ of $264$ |