23744

23744 is a six-digit number. It falls between the integers 23743 and 23745. In its prime factorization, 23744 can be broken down into 2^4 * 1484. Further prime factorization yields 2^4 * 2 * 742, then 2^5 * 2 * 371, and finally 2^6 * 7 * 53. Therefore, the prime factorization of 23744 is 2^6 * 7 * 53.

The number 23744 is an even number. It is divisible by 1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212, 371, 424, 448, 512, 742, 848, 896, 1024, 1484, 1596, 1696, 1792, 2048, 2416, 2560, 3388, 3710, 3968, 4752, 5936, 8344, 11872, and 23744. Its divisors are numerous due to the presence of 2^6.

In hexadecimal notation, 23744 is represented as 5CD0. This is derived by repeatedly dividing 23744 by 16 and recording the remainders. 23744 divided by 16 is 1484 with a remainder of 0. 1484 divided by 16 is 92 with a remainder of 12 (which is 'C' in hexadecimal). 92 divided by 16 is 5 with a remainder of 12 ('C'). 5 divided by 16 is 0 with a remainder of 5. Reading the remainders from bottom to top gives 5CC0. There was an error in the calculation. Let's recheck. 23744 / 16 = 1484 remainder 0. 1484 / 16 = 92 remainder 12 (C). 92 / 16 = 5 remainder 12 (C). 5 / 16 = 0 remainder 5. The correct hexadecimal representation is 5CC0. Let me recalculate. 23744 / 16 = 1484 R 0. 1484 / 16 = 92 R 12 (C). 92 / 16 = 5 R 12 (C). 5 / 16 = 0 R 5. The hexadecimal value is 5CC0. There seems to be a persistent error in my calculation or understanding. Let's try a different approach. 23744 = 5 * 16^3 + 12 * 16^2 + 12 * 16^1 + 0 * 16^0. This is 5 * 4096 + 12 * 256 + 12 * 16 + 0 = 20480 + 3072 + 192 = 23744. So, 23744 in hexadecimal is indeed 5CC0.