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243823248 = 243217103967
BaseRepresentation
bin11101000100001…
…11001010010000
3121222210111121200
432202013022100
5444404320443
640105551200
76020314644
oct1642071220
9558714550
10243823248
111156a5019
12697a5500
133b68c116
142454cc24
1516613dd3
hexe887290

243823248 has 120 divisors (see below), whose sum is σ = 730274688. Its totient is φ = 75672576.

The previous prime is 243823211. The next prime is 243823249. The reversal of 243823248 is 842328342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (243823249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251661 + ... + 252627.

Almost surely, 2243823248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243823248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365137344).

243823248 is an abundant number, since it is smaller than the sum of its proper divisors (486451440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243823248 is a wasteful number, since it uses less digits than its factorization.

243823248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 243823248 is about 15614.8406331925. The cubic root of 243823248 is about 624.7290541850.

The spelling of 243823248 in words is "two hundred forty-three million, eight hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 103 136 144 153 204 206 272 306 309 408 412 612 618 816 824 927 967 1224 1236 1648 1751 1854 1934 2448 2472 2901 3502 3708 3868 4944 5253 5802 7004 7416 7736 8703 10506 11604 14008 14832 15472 15759 16439 17406 21012 23208 28016 31518 32878 34812 42024 46416 49317 63036 65756 69624 84048 98634 99601 126072 131512 139248 147951 197268 199202 252144 263024 295902 298803 394536 398404 591804 597606 789072 796808 896409 1183608 1195212 1593616 1693217 1792818 2367216 2390424 3386434 3585636 4780848 5079651 6772868 7171272 10159302 13545736 14342544 15238953 20318604 27091472 30477906 40637208 60955812 81274416 121911624 243823248