Search a number
-
+
243303216 = 24313289337
BaseRepresentation
bin11101000000010…
…00001100110000
3121221211002021020
432200020030300
5444241200331
640050455440
76013020552
oct1640101460
9557732236
10243303216
1111537a342
1269594580
133b539500
14244554d2
151655ec96
hexe808330

243303216 has 120 divisors (see below), whose sum is σ = 690290640. Its totient is φ = 73801728.

The previous prime is 243303211. The next prime is 243303239. The reversal of 243303216 is 612303342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (243303211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721800 + ... + 722136.

It is an arithmetic number, because the mean of its divisors is an integer number (5752422).

Almost surely, 2243303216 is an apocalyptic number.

243303216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243303216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345145320).

243303216 is an abundant number, since it is smaller than the sum of its proper divisors (446987424).

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

243303216 is a wasteful number, since it uses less digits than its factorization.

243303216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 243303216 is about 15598.1798938209. The cubic root of 243303216 is about 624.2845924063.

Adding to 243303216 its reverse (612303342), we get a palindrome (855606558).

The spelling of 243303216 in words is "two hundred forty-three million, three hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 169 178 208 267 312 337 338 356 507 534 624 674 676 712 1011 1014 1068 1157 1348 1352 1424 2022 2028 2136 2314 2696 2704 3471 4044 4056 4272 4381 4628 5392 6942 8088 8112 8762 9256 13143 13884 15041 16176 17524 18512 26286 27768 29993 30082 35048 45123 52572 55536 56953 59986 60164 70096 89979 90246 105144 113906 119972 120328 170859 179958 180492 210288 227812 239944 240656 341718 359916 360984 389909 455624 479888 683436 719832 721968 779818 911248 1169727 1366872 1439664 1559636 2339454 2733744 3119272 4678908 5068817 6238544 9357816 10137634 15206451 18715632 20275268 30412902 40550536 60825804 81101072 121651608 243303216