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41345712 = 24324147149
BaseRepresentation
bin1001110110111…
…0001010110000
32212210120122200
42131232022300
541041030322
64034103200
71011301302
oct235561260
985716580
1041345712
112137a711
1211a1ab00
138748225
1456c3972
15396a8ac
hex276e2b0

41345712 has 120 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 13071360.

The previous prime is 41345701. The next prime is 41345737. The reversal of 41345712 is 21754314.

41345712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 277414 + ... + 277562.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 241345712 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 41345712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

41345712 is an abundant number, since it is smaller than the sum of its proper divisors (80521488).

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

41345712 is a wasteful number, since it uses less digits than its factorization.

41345712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 41345712 is about 6430.0631412141. The cubic root of 41345712 is about 345.7881916144.

The spelling of 41345712 in words is "forty-one million, three hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 47 48 72 82 94 123 141 144 149 164 188 246 282 298 328 369 376 423 447 492 564 596 656 738 752 846 894 984 1128 1192 1341 1476 1692 1788 1927 1968 2256 2384 2682 2952 3384 3576 3854 5364 5781 5904 6109 6768 7003 7152 7708 10728 11562 12218 14006 15416 17343 18327 21009 21456 23124 24436 28012 30832 34686 36654 42018 46248 48872 54981 56024 63027 69372 73308 84036 92496 97744 109962 112048 126054 138744 146616 168072 219924 252108 277488 287123 293232 336144 439848 504216 574246 861369 879696 1008432 1148492 1722738 2296984 2584107 3445476 4593968 5168214 6890952 10336428 13781904 20672856 41345712