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241313930 = 251121323229
BaseRepresentation
bin11100110001000…
…10100010001010
3121211002000110222
432120202202022
5443234021210
635540110042
75660064104
oct1630424212
9554060428
10241313930
11114240800
1268995322
133acc0c10
1424098574
15162ba655
hexe62288a

241313930 has 144 divisors (see below), whose sum is σ = 556030440. Its totient is φ = 74807040.

The previous prime is 241313909. The next prime is 241313957. The reversal of 241313930 is 39313142.

It is a happy number.

241313930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153685609 + 87628321 = 12397^2 + 9361^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 241313930.

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 71 ways as a sum of consecutive naturals, for example, 8321156 + ... + 8321184.

Almost surely, 2241313930 is an apocalyptic number.

241313930 is an abundant number, since it is smaller than the sum of its proper divisors (314716510).

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

241313930 is a wasteful number, since it uses less digits than its factorization.

241313930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 241313930 is about 15534.2824102049. The cubic root of 241313930 is about 622.5785173241.

The spelling of 241313930 in words is "two hundred forty-one million, three hundred thirteen thousand, nine hundred thirty".

Divisors: 1 2 5 10 11 13 22 23 26 29 46 55 58 65 110 115 121 130 143 145 230 242 253 286 290 299 319 377 506 529 598 605 638 667 715 754 1058 1210 1265 1334 1430 1495 1573 1595 1885 2530 2645 2783 2990 3146 3190 3289 3335 3509 3770 4147 5290 5566 5819 6578 6670 6877 7018 7337 7865 8294 8671 11638 13754 13915 14674 15341 15730 16445 17342 17545 20735 27830 29095 30682 32890 34385 35090 36179 36685 41470 43355 45617 58190 64009 68770 72358 73370 75647 76705 80707 86710 91234 95381 128018 151294 153410 161414 168751 180895 190762 199433 228085 320045 337502 361790 378235 398866 403535 456170 476905 640090 756470 807070 832117 843755 953810 997165 1049191 1664234 1687510 1856261 1994330 2098382 2193763 3712522 4160585 4387526 5245955 8321170 9281305 10491910 10968815 18562610 21937630 24131393 48262786 120656965 241313930