# 234

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## Number

$234$ (two hundred and thirty-four) is:

$2 \times 3^2 \times 13$

The $3$rd element of the smallest triple of consecutive positive integers each of which is the sum of two squares:
$232 = 14^2 + 6^2$, $233 = 13^2 + 8^2$, $234 = 15^2 + 3^2$

The $4$th element of the $2$nd set of $4$ positive integers which form an arithmetic sequence which all have the same Euler $\phi$ value:
$\map \phi {216} = \map \phi {222} = \map \phi {228} = \map \phi {234} = 72$

The $15$th of the $17$ positive integers for which the value of the Euler $\phi$ function is $72$:
$73$, $91$, $95$, $111$, $117$, $135$, $146$, $148$, $152$, $182$, $190$, $216$, $222$, $228$, $234$, $252$, $270$

The $34$th nontotient:
$\nexists m \in \Z_{>0}: \map \phi m = 234$
where $\map \phi m$ denotes the Euler $\phi$ function