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12242340 = 2235511229
BaseRepresentation
bin101110101100…
…110110100100
3212000222100000
4232230312210
511113223330
61114221300
7206025645
oct56546644
925028300
1012242340
116a01940
124124830
1326c83b6
1418a96cc
15111c560
hexbacda4

12242340 has 144 divisors (see below), whose sum is σ = 42194880. Its totient is φ = 2954880.

The previous prime is 12242339. The next prime is 12242353. The reversal of 12242340 is 4324221.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53346 + ... + 53574.

It is an arithmetic number, because the mean of its divisors is an integer number (293020).

Almost surely, 212242340 is an apocalyptic number.

12242340 is a gapful number since it is divisible by the number (10) 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 12242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097440).

12242340 is an abundant number, since it is smaller than the sum of its proper divisors (29952540).

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

12242340 is a wasteful number, since it uses less digits than its factorization.

12242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12242340 is about 3498.9055431663. The cubic root of 12242340 is about 230.4737556837.

Adding to 12242340 its reverse (4324221), we get a palindrome (16566561).

The spelling of 12242340 in words is "twelve million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 229 243 270 297 324 330 396 405 458 486 495 540 594 660 687 810 891 916 972 990 1145 1188 1215 1374 1485 1620 1782 1980 2061 2290 2430 2519 2673 2748 2970 3435 3564 4122 4455 4580 4860 5038 5346 5940 6183 6870 7557 8244 8910 10076 10305 10692 12366 12595 13365 13740 15114 17820 18549 20610 22671 24732 25190 26730 30228 30915 37098 37785 41220 45342 50380 53460 55647 61830 68013 74196 75570 90684 92745 111294 113355 123660 136026 151140 185490 204039 222588 226710 272052 278235 340065 370980 408078 453420 556470 612117 680130 816156 1020195 1112940 1224234 1360260 2040390 2448468 3060585 4080780 6121170 12242340