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71342856 = 233613941
BaseRepresentation
bin1000100000010…
…01101100001000
311222020121000000
410100021230020
5121230432411
611025043000
71524255444
oct420115410
9158217000
1071342856
11372a8a42
121ba86460
1311a1bb10
149691824
1563e3956
hex4409b08

71342856 has 112 divisors (see below), whose sum is σ = 216217260. Its totient is φ = 21928320.

The previous prime is 71342833. The next prime is 71342861. The reversal of 71342856 is 65824317.

It can be written as a sum of positive squares in 2 ways, for example, as 70056900 + 1285956 = 8370^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71342856.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75346 + ... + 76286.

Almost surely, 271342856 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 71342856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108630).

71342856 is an abundant number, since it is smaller than the sum of its proper divisors (144874404).

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

71342856 is a wasteful number, since it uses less digits than its factorization.

71342856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71342856 is about 8446.4700319127. The cubic root of 71342856 is about 414.7472327314.

The spelling of 71342856 in words is "seventy-one million, three hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 941 972 1053 1404 1458 1882 1944 2106 2808 2823 2916 3159 3764 4212 5646 5832 6318 7528 8424 8469 9477 11292 12233 12636 16938 18954 22584 24466 25272 25407 33876 36699 37908 48932 50814 67752 73398 75816 76221 97864 101628 110097 146796 152442 203256 220194 228663 293592 304884 330291 440388 457326 609768 660582 685989 880776 914652 990873 1321164 1371978 1829304 1981746 2642328 2743956 2972619 3963492 5487912 5945238 7926984 8917857 11890476 17835714 23780952 35671428 71342856