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241298340 = 2235171811307
BaseRepresentation
bin11100110000111…
…10101110100100
3121211001020002120
432120132232210
5443233021330
635535505540
75660000463
oct1630365644
9554036076
10241298340
11114230018
12689882b0
133acb6aaa
14240929da
15162b5c10
hexe61eba4

241298340 has 96 divisors (see below), whose sum is σ = 719881344. Its totient is φ = 60180480.

The previous prime is 241298339. The next prime is 241298363. The reversal of 241298340 is 43892142.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183967 + ... + 185273.

It is an arithmetic number, because the mean of its divisors is an integer number (7498764).

Almost surely, 2241298340 is an apocalyptic number.

241298340 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 241298340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359940672).

241298340 is an abundant number, since it is smaller than the sum of its proper divisors (478583004).

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

241298340 is a wasteful number, since it uses less digits than its factorization.

241298340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 241298340 is about 15533.7806087250. The cubic root of 241298340 is about 622.5651098813.

The spelling of 241298340 in words is "two hundred forty-one million, two hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 340 362 510 543 724 905 1020 1086 1307 1810 2172 2614 2715 3077 3620 3921 5228 5430 6154 6535 7842 9231 10860 12308 13070 15385 15684 18462 19605 22219 26140 30770 36924 39210 44438 46155 61540 66657 78420 88876 92310 111095 133314 184620 222190 236567 266628 333285 444380 473134 666570 709701 946268 1182835 1333140 1419402 2365670 2838804 3548505 4021639 4731340 7097010 8043278 12064917 14194020 16086556 20108195 24129834 40216390 48259668 60324585 80432780 120649170 241298340