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12240468 = 2232418293
BaseRepresentation
bin101110101100…
…011001010100
3212000212202200
4232230121110
511113143333
61114204500
7206020332
oct56543124
925025680
1012240468
116a00499
124123730
1326c75a6
1418a8b52
15111bc13
hexbac654

12240468 has 36 divisors (see below), whose sum is σ = 31699668. Its totient is φ = 3980160.

The previous prime is 12240467. The next prime is 12240469. The reversal of 12240468 is 86404221.

12240468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12240467) and next prime (12240469).

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 10771524 = 1212^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×122404683 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2671 + ... + 5622.

Almost surely, 212240468 is an apocalyptic number.

12240468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12240468 is an abundant number, since it is smaller than the sum of its proper divisors (19459200).

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

12240468 is a wasteful number, since it uses less digits than its factorization.

12240468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12240468 is about 3498.6380207161. The cubic root of 12240468 is about 230.4620076882.

Adding to 12240468 its reverse (86404221), we get a palindrome (98644689).

The spelling of 12240468 in words is "twelve million, two hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8293 16586 24879 33172 49758 74637 99516 149274 298548 340013 680026 1020039 1360052 2040078 3060117 4080156 6120234 12240468