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241033140 = 2232517227347
BaseRepresentation
bin11100101110111…
…01111110110100
3121210112202022100
432113131332310
5443201030030
635530102100
75654514345
oct1627357664
9553482270
10241033140
11114069847
126887a930
133ac2317a
14240240cc
1516262360
hexe5ddfb4

241033140 has 144 divisors (see below), whose sum is σ = 779792832. Its totient is φ = 60054528.

The previous prime is 241033139. The next prime is 241033147. The reversal of 241033140 is 41330142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241033147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694447 + ... + 694793.

It is an arithmetic number, because the mean of its divisors is an integer number (5415228).

Almost surely, 2241033140 is an apocalyptic number.

241033140 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 241033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389896416).

241033140 is an abundant number, since it is smaller than the sum of its proper divisors (538759692).

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

241033140 is a wasteful number, since it uses less digits than its factorization.

241033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 241033140 is about 15525.2420270990. The cubic root of 241033140 is about 622.3369486345.

Adding to 241033140 its reverse (41330142), we get a palindrome (282363282).

The spelling of 241033140 in words is "two hundred forty-one million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 227 255 306 340 347 454 510 612 681 694 765 908 1020 1041 1135 1362 1388 1530 1735 2043 2082 2270 2724 3060 3123 3405 3470 3859 4086 4164 4540 5205 5899 6246 6810 6940 7718 8172 10215 10410 11577 11798 12492 13620 15436 15615 17697 19295 20430 20820 23154 23596 29495 31230 34731 35394 38590 40860 46308 53091 57885 58990 62460 69462 70788 77180 78769 88485 106182 115770 117980 138924 157538 173655 176970 212364 231540 236307 265455 315076 347310 353940 393845 472614 530910 694620 708921 787690 945228 1061820 1181535 1339073 1417842 1575380 2363070 2678146 2835684 3544605 4017219 4726140 5356292 6695365 7089210 8034438 12051657 13390730 14178420 16068876 20086095 24103314 26781460 40172190 48206628 60258285 80344380 120516570 241033140