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41034168 = 2333723877
BaseRepresentation
bin1001110010001…
…0000110111000
32212012202022000
42130202012320
541001043133
64023301000
71005533100
oct234420670
985182260
1041034168
112118763a
12118aa760
138669496
145642200
153908413
hex27221b8

41034168 has 96 divisors (see below), whose sum is σ = 132627600. Its totient is φ = 11721024.

The previous prime is 41034163. The next prime is 41034181. The reversal of 41034168 is 86143014.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41034163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646 + ... + 12522.

Almost surely, 241034168 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 41034168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66313800).

41034168 is an abundant number, since it is smaller than the sum of its proper divisors (91593432).

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

41034168 is a wasteful number, since it uses less digits than its factorization.

41034168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41034168 is about 6405.7917543423. The cubic root of 41034168 is about 344.9174849920.

The spelling of 41034168 in words is "forty-one million, thirty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 3877 5292 7754 10584 11631 15508 23262 27139 31016 34893 46524 54278 69786 81417 93048 104679 108556 139572 162834 189973 209358 217112 244251 279144 325668 379946 418716 488502 569919 651336 732753 759892 837432 977004 1139838 1465506 1519784 1709757 1954008 2279676 2931012 3419514 4559352 5129271 5862024 6839028 10258542 13678056 20517084 41034168