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12234321 = 351123199
BaseRepresentation
bin101110101010…
…111001010001
3212000120100000
4232222321101
511112444241
61114120213
7205663401
oct56527121
925016300
1012234321
1169a6910
124120069
1326c4858
1418a6801
151119eb6
hexbaae51

12234321 has 48 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 7056720.

The previous prime is 12234311. The next prime is 12234329. The reversal of 12234321 is 12343221.

It is not a de Polignac number, because 12234321 - 211 = 12232273 is a prime.

It is a super-2 number, since 2×122343212 = 299357220662082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12234294 and 12234303.

It is not an unprimeable number, because it can be changed into a prime (12234329) 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 47 ways as a sum of consecutive naturals, for example, 61380 + ... + 61578.

It is an arithmetic number, because the mean of its divisors is an integer number (436800).

Almost surely, 212234321 is an apocalyptic number.

12234321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12234321 is a deficient number, since it is larger than the sum of its proper divisors (8732079).

12234321 is a wasteful number, since it uses less digits than its factorization.

12234321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

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

The square root of 12234321 is about 3497.7594256895. The cubic root of 12234321 is about 230.4234229117.

Adding to 12234321 its reverse (12343221), we get a palindrome (24577542).

Subtracting 12234321 from its reverse (12343221), we obtain a square (108900 = 3302).

It can be divided in two parts, 122 and 34321, that added together give a palindrome (34443).

The spelling of 12234321 in words is "twelve million, two hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 23 27 33 69 81 99 199 207 243 253 297 597 621 759 891 1791 1863 2189 2277 2673 4577 5373 5589 6567 6831 13731 16119 19701 20493 41193 48357 50347 59103 61479 123579 151041 177309 370737 453123 531927 1112211 1359369 4078107 12234321