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242000440 = 235111732353
BaseRepresentation
bin11100110110010…
…10001000111000
3121212100220012021
432123022020320
5443423003230
640002524224
75665653433
oct1633121070
9555326167
10242000440
1111466a570
1269066674
133b1a1536
14241d681a
15163a3c7a
hexe6ca238

242000440 has 64 divisors (see below), whose sum is σ = 628961760. Its totient is φ = 82821120.

The previous prime is 242000417. The next prime is 242000441. The reversal of 242000440 is 44000242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697 + ... + 23656.

Almost surely, 2242000440 is an apocalyptic number.

242000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242000440 is an abundant number, since it is smaller than the sum of its proper divisors (386961320).

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

242000440 is a wasteful number, since it uses less digits than its factorization.

242000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32392 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242000440 is about 15556.3633282332. The cubic root of 242000440 is about 623.1683461143.

Adding to 242000440 its reverse (44000242), we get a palindrome (286000682).

The spelling of 242000440 in words is "two hundred forty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 32353 64706 129412 161765 258824 323530 355883 550001 647060 711766 1100002 1294120 1423532 1779415 2200004 2750005 2847064 3558830 4400008 5500010 6050011 7117660 11000020 12100022 14235320 22000040 24200044 30250055 48400088 60500110 121000220 242000440