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24113412 = 22321731241
BaseRepresentation
bin101101111111…
…1000100000100
31200101002101100
41123333010010
522133112122
62220500100
7411650331
oct133770404
950332340
1024113412
111267a844
1280aa630
134cc37bb
1432b9988
1521b4aac
hex16ff104

24113412 has 108 divisors (see below), whose sum is σ = 68314428. Its totient is φ = 7142400.

The previous prime is 24113389. The next prime is 24113417. The reversal of 24113412 is 21431142.

24113412 is a `hidden beast` number, since 241 + 13 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 15256836 = 2976^2 + 3906^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (24113417) 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 35 ways as a sum of consecutive naturals, for example, 588112 + ... + 588152.

It is an arithmetic number, because the mean of its divisors is an integer number (632541).

Almost surely, 224113412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24113412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34157214).

24113412 is an abundant number, since it is smaller than the sum of its proper divisors (44201016).

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

24113412 is a wasteful number, since it uses less digits than its factorization.

24113412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 24113412 is about 4910.5409070692. The cubic root of 24113412 is about 288.9035569366.

Adding to 24113412 its reverse (21431142), we get a palindrome (45544554).

The spelling of 24113412 in words is "twenty-four million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 41 51 62 68 82 93 102 123 124 153 164 186 204 246 279 306 369 372 492 527 558 612 697 738 961 1054 1116 1271 1394 1476 1581 1922 2091 2108 2542 2788 2883 3162 3813 3844 4182 4743 5084 5766 6273 6324 7626 8364 8649 9486 11439 11532 12546 15252 16337 17298 18972 21607 22878 25092 32674 34596 39401 43214 45756 49011 64821 65348 78802 86428 98022 118203 129642 147033 157604 194463 196044 236406 259284 294066 354609 388926 472812 588132 669817 709218 777852 1339634 1418436 2009451 2679268 4018902 6028353 8037804 12056706 24113412