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12240306 = 23213172181
BaseRepresentation
bin101110101100…
…010110110010
3212000212112200
4232230112302
511113142211
61114204030
7206020011
oct56542662
925025480
1012240306
116a00361
124123616
1326c74b0
1418a8a78
15111bb56
hexbac5b2

12240306 has 72 divisors (see below), whose sum is σ = 30507204. Its totient is φ = 3525120.

The previous prime is 12240299. The next prime is 12240311. The reversal of 12240306 is 60304221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3294225 + 8946081 = 1815^2 + 2991^2 .

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

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 67536 + ... + 67716.

Almost surely, 212240306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253602).

12240306 is an abundant number, since it is smaller than the sum of its proper divisors (18266898).

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

12240306 is a wasteful number, since it uses less digits than its factorization.

12240306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

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

The square root of 12240306 is about 3498.6148687731. The cubic root of 12240306 is about 230.4609909785.

Adding to 12240306 its reverse (60304221), we get a palindrome (72544527).

The spelling of 12240306 in words is "twelve million, two hundred forty thousand, three hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 181 221 234 289 306 362 442 543 578 663 867 1086 1326 1629 1734 1989 2353 2601 3077 3258 3757 3978 4706 5202 6154 7059 7514 9231 11271 14118 18462 21177 22542 27693 33813 40001 42354 52309 55386 67626 80002 104618 120003 156927 240006 313854 360009 470781 680017 720018 941562 1360034 2040051 4080102 6120153 12240306