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243104000 = 285371107
BaseRepresentation
bin11100111110101…
…11100100000000
3121221102221222212
432133113210000
5444213312000
640042321252
76011231006
oct1637274400
9557387885
10243104000
111152536a7
12694b9228
133b499929
1424402a76
1516520c35
hexe7d7900

243104000 has 144 divisors (see below), whose sum is σ = 619871616. Its totient is φ = 94976000.

The previous prime is 243103969. The next prime is 243104003. The reversal of 243104000 is 401342.

243104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271947 + ... + 2272053.

It is an arithmetic number, because the mean of its divisors is an integer number (4304664).

Almost surely, 2243104000 is an apocalyptic number.

243104000 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 243104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309935808).

243104000 is an abundant number, since it is smaller than the sum of its proper divisors (376767616).

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

243104000 is an equidigital number, since it uses as much as digits as its factorization.

243104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 243104000 is about 15591.7927128345. The cubic root of 243104000 is about 624.1141583819.

Adding to 243104000 its reverse (401342), we get a palindrome (243505342).

The spelling of 243104000 in words is "two hundred forty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 107 125 128 142 160 200 214 250 256 284 320 355 400 428 500 535 568 640 710 800 856 1000 1070 1136 1280 1420 1600 1712 1775 2000 2140 2272 2675 2840 3200 3424 3550 4000 4280 4544 5350 5680 6400 6848 7100 7597 8000 8560 8875 9088 10700 11360 13375 13696 14200 15194 16000 17120 17750 18176 21400 22720 26750 27392 28400 30388 32000 34240 35500 37985 42800 45440 53500 56800 60776 68480 71000 75970 85600 90880 107000 113600 121552 136960 142000 151940 171200 189925 214000 227200 243104 284000 303880 342400 379850 428000 454400 486208 568000 607760 684800 759700 856000 949625 972416 1136000 1215520 1519400 1712000 1899250 1944832 2272000 2431040 3038800 3424000 3798500 4862080 6077600 7597000 9724160 12155200 15194000 24310400 30388000 48620800 60776000 121552000 243104000