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8282340 = 22325114789
BaseRepresentation
bin11111100110000011100100
3120120210020100
4133212003210
54110013330
6453304100
7130253523
oct37460344
916523210
108282340
114747710
122935030
13193cac1
1411584ba
15ad9060
hex7e60e4

8282340 has 144 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 1943040.

The previous prime is 8282327. The next prime is 8282341. The reversal of 8282340 is 432828.

8282340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8282341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93016 + ... + 93104.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 28282340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8282340 is an abundant number, since it is smaller than the sum of its proper divisors (20022300).

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

8282340 is a wasteful number, since it uses less digits than its factorization.

8282340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8282340 is about 2877.9054883717. The cubic root of 8282340 is about 202.3256844657.

The spelling of 8282340 in words is "eight million, two hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 89 90 94 99 110 132 141 165 178 180 188 198 220 235 267 282 330 356 396 423 445 470 495 517 534 564 660 705 801 846 890 940 979 990 1034 1068 1335 1410 1551 1602 1692 1780 1958 1980 2068 2115 2585 2670 2820 2937 3102 3204 3916 4005 4183 4230 4653 4895 5170 5340 5874 6204 7755 8010 8366 8460 8811 9306 9790 10340 11748 12549 14685 15510 16020 16732 17622 18612 19580 20915 23265 25098 29370 31020 35244 37647 41830 44055 46013 46530 50196 58740 62745 75294 83660 88110 92026 93060 125490 138039 150588 176220 184052 188235 230065 250980 276078 376470 414117 460130 552156 690195 752940 828234 920260 1380390 1656468 2070585 2760780 4141170 8282340