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12144330 = 2345112947
BaseRepresentation
bin101110010100…
…111011001010
3211211222220000
4232110323022
511102104310
61112143430
7205140132
oct56247312
924758800
1012144330
116945240
124097b76
1326928c3
141881ac2
1510ed4c0
hexb94eca

12144330 has 160 divisors (see below), whose sum is σ = 37635840. Its totient is φ = 2782080.

The previous prime is 12144313. The next prime is 12144331. The reversal of 12144330 is 3344121.

It is a super-2 number, since 2×121443302 = 294969502297800, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12144331) 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 79 ways as a sum of consecutive naturals, for example, 258367 + ... + 258413.

It is an arithmetic number, because the mean of its divisors is an integer number (235224).

Almost surely, 212144330 is an apocalyptic number.

12144330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817920).

12144330 is an abundant number, since it is smaller than the sum of its proper divisors (25491510).

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

12144330 is a wasteful number, since it uses less digits than its factorization.

12144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12144330 is about 3484.8715901737. The cubic root of 12144330 is about 229.8570630469.

Adding to 12144330 its reverse (3344121), we get a palindrome (15488451).

The spelling of 12144330 in words is "twelve million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 47 54 55 58 66 81 87 90 94 99 110 135 141 145 162 165 174 198 235 261 270 282 290 297 319 330 405 423 435 470 495 517 522 594 638 705 783 810 846 870 891 957 990 1034 1269 1305 1363 1410 1485 1551 1566 1595 1782 1914 2115 2349 2538 2585 2610 2726 2871 2970 3102 3190 3807 3915 4089 4230 4455 4653 4698 4785 5170 5742 6345 6815 7614 7755 7830 8178 8613 8910 9306 9570 11745 12267 12690 13630 13959 14355 14993 15510 17226 19035 20445 23265 23490 24534 25839 27918 28710 29986 36801 38070 40890 41877 43065 44979 46530 51678 61335 69795 73602 74965 83754 86130 89958 110403 122670 129195 134937 139590 149930 184005 209385 220806 224895 258390 269874 368010 404811 418770 449790 552015 674685 809622 1104030 1214433 1349370 2024055 2428866 4048110 6072165 12144330