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12674340 = 2233572479
BaseRepresentation
bin110000010110…
…010100100100
3212211220221000
4300112110210
511221034330
61131353300
7212505300
oct60262444
925756830
1012674340
117177468
1242b2830
132819c13
14197cd00
1511a5560
hexc16524

12674340 has 144 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 2890944.

The previous prime is 12674339. The next prime is 12674341. The reversal of 12674340 is 4347621.

It is an interprime number because it is at equal distance from previous prime (12674339) and next prime (12674341).

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

It is not an unprimeable number, because it can be changed into a prime (12674341) 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, 26221 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 212674340 is an apocalyptic number.

12674340 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 12674340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

12674340 is an abundant number, since it is smaller than the sum of its proper divisors (33290460).

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

12674340 is a wasteful number, since it uses less digits than its factorization.

12674340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 12674340 is about 3560.1039310672. The cubic root of 12674340 is about 233.1534168629.

The spelling of 12674340 in words is "twelve million, six hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 479 490 540 588 630 735 756 882 945 958 980 1260 1323 1437 1470 1764 1890 1916 2205 2395 2646 2874 2940 3353 3780 4311 4410 4790 5292 5748 6615 6706 7185 8622 8820 9580 10059 12933 13230 13412 14370 16765 17244 20118 21555 23471 25866 26460 28740 30177 33530 40236 43110 46942 50295 51732 60354 64665 67060 70413 86220 90531 93884 100590 117355 120708 129330 140826 150885 181062 201180 211239 234710 258660 281652 301770 352065 362124 422478 452655 469420 603540 633717 704130 844956 905310 1056195 1267434 1408260 1810620 2112390 2534868 3168585 4224780 6337170 12674340