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242342024310 = 23351914699283
BaseRepresentation
bin1110000110110010110…
…1011101010001110110
3212011112020021101101000
43201230231131101312
512432304024234220
6303155210344130
723336314135011
oct3415455352166
9764466241330
10242342024310
119385a833821
123ab73a2b046
1319b1166b929
14ba2d73a378
15648587e390
hex386cb5d476

242342024310 has 64 divisors (see below), whose sum is σ = 649629020160. Its totient is φ = 64286177760.

The previous prime is 242342024293. The next prime is 242342024363. The reversal of 242342024310 is 13420243242.

242342024310 is a `hidden beast` number, since 2 + 4 + 2 + 342 + 0 + 2 + 4 + 310 = 666.

It is a super-3 number, since 3×2423420243103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2298072 + ... + 2401211.

It is an arithmetic number, because the mean of its divisors is an integer number (10150453440).

Almost surely, 2242342024310 is an apocalyptic number.

242342024310 is an abundant number, since it is smaller than the sum of its proper divisors (407286995850).

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

242342024310 is a wasteful number, since it uses less digits than its factorization.

242342024310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699490 (or 4699484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242342024310 its reverse (13420243242), we get a palindrome (255762267552).

The spelling of 242342024310 in words is "two hundred forty-two billion, three hundred forty-two million, twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 955 1146 1719 1910 2865 3438 5157 5730 8595 10314 17190 25785 51570 4699283 9398566 14097849 23496415 28195698 42293547 46992830 70489245 84587094 126880641 140978490 211467735 253761282 422935470 634403205 897563053 1268806410 1795126106 2692689159 4487815265 5385378318 8078067477 8975630530 13463445795 16156134954 24234202431 26926891590 40390337385 48468404862 80780674770 121171012155 242342024310