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242859340 = 225294759151
BaseRepresentation
bin11100111100110…
…11110101001100
3121220222112101101
432132123311030
5444132444330
640033152444
76006161503
oct1636336514
9556875341
10242859340
111150a68a9
12693bb724
133b412469
142437b83a
15164c34ca
hexe79bd4c

242859340 has 96 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 89644800.

The previous prime is 242859329. The next prime is 242859341. The reversal of 242859340 is 43958242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242859340.

It is not an unprimeable number, because it can be changed into a prime (242859341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608265 + ... + 1608415.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2242859340 is an apocalyptic number.

242859340 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 242859340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

242859340 is an abundant number, since it is smaller than the sum of its proper divisors (308718260).

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

242859340 is a wasteful number, since it uses less digits than its factorization.

242859340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 242859340 is about 15583.9449434346. The cubic root of 242859340 is about 623.9047184947.

The spelling of 242859340 in words is "two hundred forty-two million, eight hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 47 58 59 94 116 118 145 151 188 235 236 290 295 302 470 580 590 604 755 940 1180 1363 1510 1711 2726 2773 3020 3422 4379 5452 5546 6815 6844 7097 8555 8758 8909 11092 13630 13865 14194 17110 17516 17818 21895 27260 27730 28388 34220 35485 35636 43790 44545 55460 70970 80417 87580 89090 141940 160834 178180 205813 258361 321668 402085 411626 418723 516722 804170 823252 837446 1029065 1033444 1291805 1608340 1674892 2058130 2093615 2583610 4116260 4187230 5167220 8374460 12142967 24285934 48571868 60714835 121429670 242859340