Question 142
Find the largest integer $N$ satisfying these conditions:
a. $E(N/3)$ has three equal digits.
b. $E(N/3)$ is a sum of consecutive natural numbers starting at 1, that is, there exists a natural number $n$ with
$$E(N/3)=1+2+3+\cdots+n.$$
Note: $E(x)$ is the integer part of $x$.
a. $E(N/3)$ has three equal digits.
b. $E(N/3)$ is a sum of consecutive natural numbers starting at 1, that is, there exists a natural number $n$ with
$$E(N/3)=1+2+3+\cdots+n.$$
Note: $E(x)$ is the integer part of $x$.