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12344220 = 22325797101
BaseRepresentation
bin101111000101…
…101110011100
3212020011002100
4233011232130
511130003340
61120325100
7206631660
oct57055634
925204070
1012344220
116a71439
124173790
132732895
1418d48a0
15113c830
hexbc5b9c

12344220 has 144 divisors (see below), whose sum is σ = 43662528. Its totient is φ = 2764800.

The previous prime is 12344201. The next prime is 12344237. The reversal of 12344220 is 2244321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12344193 and 12344202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122170 + ... + 122270.

It is an arithmetic number, because the mean of its divisors is an integer number (303212).

Almost surely, 212344220 is an apocalyptic number.

12344220 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 12344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831264).

12344220 is an abundant number, since it is smaller than the sum of its proper divisors (31318308).

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

12344220 is a wasteful number, since it uses less digits than its factorization.

12344220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

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

The square root of 12344220 is about 3513.4342174004. The cubic root of 12344220 is about 231.1113198209. Note that the first 3 decimals are identical.

Adding to 12344220 its reverse (2244321), we get a palindrome (14588541).

The spelling of 12344220 in words is "twelve million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 101 105 126 140 180 194 202 210 252 291 303 315 388 404 420 485 505 582 606 630 679 707 873 909 970 1010 1164 1212 1260 1358 1414 1455 1515 1746 1818 1940 2020 2037 2121 2716 2828 2910 3030 3395 3492 3535 3636 4074 4242 4365 4545 5820 6060 6111 6363 6790 7070 8148 8484 8730 9090 9797 10185 10605 12222 12726 13580 14140 17460 18180 19594 20370 21210 24444 25452 29391 30555 31815 39188 40740 42420 48985 58782 61110 63630 68579 88173 97970 117564 122220 127260 137158 146955 176346 195940 205737 274316 293910 342895 352692 411474 440865 587820 617211 685790 822948 881730 1028685 1234422 1371580 1763460 2057370 2468844 3086055 4114740 6172110 12344220