Search a number
-
+
243043416 = 23347114871
BaseRepresentation
bin11100111110010…
…00110001011000
3121221022212220000
432133020301120
5444204342131
640041133000
76010556250
oct1637106130
9557285800
10243043416
11115212130
126948a160
133b478195
14243c8960
151650cce6
hexe7c8c58

243043416 has 160 divisors (see below), whose sum is σ = 848897280. Its totient is φ = 63115200.

The previous prime is 243043399. The next prime is 243043429. The reversal of 243043416 is 614340342.

243043416 is a `hidden beast` number, since 243 + 0 + 4 + 3 + 416 = 666.

243043416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 243043416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47461 + ... + 52331.

It is an arithmetic number, because the mean of its divisors is an integer number (5305608).

Almost surely, 2243043416 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 243043416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424448640).

243043416 is an abundant number, since it is smaller than the sum of its proper divisors (605853864).

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

243043416 is a wasteful number, since it uses less digits than its factorization.

243043416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 243043416 is about 15589.8497747733. The cubic root of 243043416 is about 624.0623088668.

Adding to 243043416 its reverse (614340342), we get a palindrome (857383758).

The spelling of 243043416 in words is "two hundred forty-three million, forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 4871 5544 6237 7128 8316 9742 12474 14613 16632 19484 24948 29226 34097 38968 43839 49896 53581 58452 68194 87678 102291 107162 116904 131517 136388 160743 175356 204582 214324 263034 272776 306873 321486 350712 375067 394551 409164 428648 482229 526068 613746 642972 750134 789102 818328 920619 964458 1052136 1125201 1227492 1285944 1446687 1500268 1578204 1841238 1928916 2250402 2454984 2761857 2893374 3000536 3156408 3375603 3682476 3857832 4340061 4500804 5523714 5786748 6751206 7364952 8680122 9001608 10126809 11047428 11573496 13502412 17360244 20253618 22094856 27004824 30380427 34720488 40507236 60760854 81014472 121521708 243043416