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241344240 = 243517149397
BaseRepresentation
bin11100110001010…
…01111011110000
3121211010120001120
432120221323300
5443241003430
635540502240
75660251344
oct1630517360
9554116046
10241344240
11114261555
12689aa980
133b001957
14240a5624
15162c4610
hexe629ef0

241344240 has 160 divisors (see below), whose sum is σ = 799502400. Its totient is φ = 60014592.

The previous prime is 241344239. The next prime is 241344253. The reversal of 241344240 is 42443142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241344240.

It is a congruent number.

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, 607722 + ... + 608118.

It is an arithmetic number, because the mean of its divisors is an integer number (4996890).

Almost surely, 2241344240 is an apocalyptic number.

241344240 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 241344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399751200).

241344240 is an abundant number, since it is smaller than the sum of its proper divisors (558158160).

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

241344240 is a wasteful number, since it uses less digits than its factorization.

241344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 241344240 is about 15535.2579637417. The cubic root of 241344240 is about 622.6045823546.

Adding to 241344240 its reverse (42443142), we get a palindrome (283787382).

The spelling of 241344240 in words is "two hundred forty-one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 149 170 204 240 255 272 298 340 397 408 447 510 596 680 745 794 816 894 1020 1191 1192 1360 1490 1588 1788 1985 2040 2235 2382 2384 2533 2980 3176 3576 3970 4080 4470 4764 5066 5955 5960 6352 6749 7152 7599 7940 8940 9528 10132 11910 11920 12665 13498 15198 15880 17880 19056 20247 20264 23820 25330 26996 30396 31760 33745 35760 37995 40494 40528 47640 50660 53992 59153 60792 67490 75990 80988 95280 101235 101320 107984 118306 121584 134980 151980 161976 177459 202470 202640 236612 269960 295765 303960 323952 354918 404940 473224 539920 591530 607920 709836 809880 887295 946448 1005601 1183060 1419672 1619760 1774590 2011202 2366120 2839344 3016803 3549180 4022404 4732240 5028005 6033606 7098360 8044808 10056010 12067212 14196720 15084015 16089616 20112020 24134424 30168030 40224040 48268848 60336060 80448080 120672120 241344240