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241412424 = 233112591409
BaseRepresentation
bin11100110001110…
…10100101001000
3121211021000120220
432120322211020
5443300144144
635542150040
75660654211
oct1630724510
9554230526
10241412424
111142a8800
1268a22320
133b0269b6
14240c2408
15162d9919
hexe63a948

241412424 has 96 divisors (see below), whose sum is σ = 675108000. Its totient is φ = 71864320.

The previous prime is 241412417. The next prime is 241412429. The reversal of 241412424 is 424214142.

241412424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 241412394 and 241412403.

It is not an unprimeable number, because it can be changed into a prime (241412429) 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 23 ways as a sum of consecutive naturals, for example, 170632 + ... + 172040.

It is an arithmetic number, because the mean of its divisors is an integer number (7032375).

Almost surely, 2241412424 is an apocalyptic number.

241412424 is a gapful number since it is divisible by the number (24) 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 241412424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337554000).

241412424 is an abundant number, since it is smaller than the sum of its proper divisors (433695576).

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

241412424 is a wasteful number, since it uses less digits than its factorization.

241412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1484 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 241412424 is about 15537.4523008117. The cubic root of 241412424 is about 622.6632090886.

Adding to 241412424 its reverse (424214142), we get a palindrome (665626566).

It can be divided in two parts, 24141 and 2424, that added together give a triangular number (26565 = T230).

The spelling of 241412424 in words is "two hundred forty-one million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 121 132 177 236 242 264 354 363 472 484 649 708 726 968 1298 1409 1416 1452 1947 2596 2818 2904 3894 4227 5192 5636 7139 7788 8454 11272 14278 15499 15576 16908 21417 28556 30998 33816 42834 46497 57112 61996 83131 85668 92994 123992 166262 170489 171336 185988 249393 332524 340978 371976 498786 511467 665048 681956 914441 997572 1022934 1363912 1828882 1995144 2045868 2743323 3657764 4091736 5486646 7315528 10058851 10973292 20117702 21946584 30176553 40235404 60353106 80470808 120706212 241412424