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41345640 = 2334571823
BaseRepresentation
bin1001110110111…
…0001001101000
32212210120120000
42131232021220
541041030030
64034103000
71011301140
oct235561150
985716500
1041345640
112137a656
1211a1aa60
13874819b
1456c3920
15396a860
hex276e268

41345640 has 160 divisors (see below), whose sum is σ = 158906880. Its totient is φ = 9445248.

The previous prime is 41345639. The next prime is 41345659. The reversal of 41345640 is 4654314.

41345640 is a `hidden beast` number, since 4 + 13 + 4 + 5 + 640 = 666.

41345640 is digitally balanced in base 2, 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 (27).

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 39 ways as a sum of consecutive naturals, for example, 21769 + ... + 23591.

It is an arithmetic number, because the mean of its divisors is an integer number (993168).

Almost surely, 241345640 is an apocalyptic number.

41345640 is a gapful number since it is divisible by the number (40) 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 41345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79453440).

41345640 is an abundant number, since it is smaller than the sum of its proper divisors (117561240).

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

41345640 is a wasteful number, since it uses less digits than its factorization.

41345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 41345640 is about 6430.0575425108. The cubic root of 41345640 is about 345.7879908941.

Adding to 41345640 its reverse (4654314), we get a palindrome (45999954).

The spelling of 41345640 in words is "forty-one million, three hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1823 1890 2268 2520 2835 3240 3646 3780 4536 5469 5670 7292 7560 9115 10938 11340 12761 14584 16407 18230 21876 22680 25522 27345 32814 36460 38283 43752 49221 51044 54690 63805 65628 72920 76566 82035 98442 102088 109380 114849 127610 131256 147663 153132 164070 191415 196884 218760 229698 246105 255220 295326 306264 328140 344547 382830 393768 459396 492210 510440 574245 590652 656280 689094 738315 765660 918792 984420 1033641 1148490 1181304 1378188 1476630 1531320 1722735 1968840 2067282 2296980 2756376 2953260 3445470 4134564 4593960 5168205 5906520 6890940 8269128 10336410 13781880 20672820 41345640