264

Previous  ... Next

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 $264$

Also see

• Previous  ... Next: Palindromic Squares with Non-Palindromic Roots
• Previous  ... Next: Numbers such that Divisor Count divides Phi divides Divisor Sum
• Previous  ... Next: Integers whose Ratio between Divisor Sum and Phi is Square