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243664680 = 233571072711
BaseRepresentation
bin11101000011000…
…00011100101000
3121222111110002210
432201200130220
5444334232210
640102325120
76016054440
oct1641403450
9558443083
10243664680
111155a6976
12697297a0
133b634bac
142450b120
15165d1e20
hexe860728

243664680 has 128 divisors (see below), whose sum is σ = 843540480. Its totient is φ = 55153920.

The previous prime is 243664661. The next prime is 243664697. The reversal of 243664680 is 86466342.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 88525 + ... + 91235.

It is an arithmetic number, because the mean of its divisors is an integer number (6590160).

Almost surely, 2243664680 is an apocalyptic number.

243664680 is a gapful number since it is divisible by the number (20) 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 243664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421770240).

243664680 is an abundant number, since it is smaller than the sum of its proper divisors (599875800).

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

243664680 is a wasteful number, since it uses less digits than its factorization.

243664680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 243664680 is about 15609.7623300292. The cubic root of 243664680 is about 624.5935960613.

The spelling of 243664680 in words is "two hundred forty-three million, six hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1605 2140 2247 2568 2711 2996 3210 3745 4280 4494 5422 5992 6420 7490 8133 8988 10844 11235 12840 13555 14980 16266 17976 18977 21688 22470 27110 29960 32532 37954 40665 44940 54220 56931 65064 75908 81330 89880 94885 108440 113862 151816 162660 189770 227724 284655 290077 325320 379540 455448 569310 580154 759080 870231 1138620 1160308 1450385 1740462 2030539 2277240 2320616 2900770 3480924 4061078 4351155 5801540 6091617 6961848 8122156 8702310 10152695 11603080 12183234 16244312 17404620 20305390 24366468 30458085 34809240 40610780 48732936 60916170 81221560 121832340 243664680