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34163856 = 243629101
BaseRepresentation
bin1000001001010…
…0110010010000
32101021201000000
42002110302100
532221220411
63220130000
7563250036
oct202246220
971251000
1034163856
11183148a1
12b536900
1371022cc
144774556
152eec956
hex2094c90

34163856 has 140 divisors (see below), whose sum is σ = 103681980. Its totient is φ = 10886400.

The previous prime is 34163849. The next prime is 34163869. The reversal of 34163856 is 65836143.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 7290000 = 5184^2 + 2700^2 .

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (51840) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 34163856.

It is a congruent number.

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, 338206 + ... + 338306.

Almost surely, 234163856 is an apocalyptic number.

34163856 is a gapful number since it is divisible by the number (36) 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 34163856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840990).

34163856 is an abundant number, since it is smaller than the sum of its proper divisors (69518124).

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

34163856 is a wasteful number, since it uses less digits than its factorization.

34163856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34163856 is about 5844.9855431814. The cubic root of 34163856 is about 324.4807677409.

Adding to 34163856 its reverse (65836143), we get a palindrome (99999999).

The spelling of 34163856 in words is "thirty-four million, one hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 101 108 116 144 162 174 202 216 232 243 261 303 324 348 404 432 464 486 522 606 648 696 729 783 808 909 972 1044 1212 1296 1392 1458 1566 1616 1818 1944 2088 2349 2424 2727 2916 2929 3132 3636 3888 4176 4698 4848 5454 5832 5858 6264 7047 7272 8181 8787 9396 10908 11664 11716 12528 14094 14544 16362 17574 18792 21141 21816 23432 24543 26361 28188 32724 35148 37584 42282 43632 46864 49086 52722 56376 65448 70296 73629 79083 84564 98172 105444 112752 130896 140592 147258 158166 169128 196344 210888 237249 294516 316332 338256 392688 421776 474498 589032 632664 711747 948996 1178064 1265328 1423494 1897992 2135241 2846988 3795984 4270482 5693976 8540964 11387952 17081928 34163856