The scatter graph shows the total number of three types of cookies (Butter, Oatmeal, and Sugar) baked by three bakeries A, B, and C on the y-axis, and...

The scatter graph shows the total number of three types of cookies (Butter, Oatmeal, and Sugar) baked by three bakeries A, B, and C on the y-axis, and the percentage of cookies sold out of the total baked on the x-axis. Given that:

• The sum of oatmeal and butter cookies baked by bakery C is a perfect cube of a one-digit number.
• The number of sugar cookies baked by A, B, and C are squares of two-digit consecutive natural numbers.
• Bakery A baked the least number of sugar cookies, and bakery C baked the largest number of sugar cookies.
• The ratio of oatmeal to butter cookies baked by A, B, and C are 2:1, 1:3, and 1:2 respectively.

Find the total number of oatmeal cookies baked by all three bakeries combined.