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36341136 = 243513719
BaseRepresentation
bin1000101010100…
…0010110010000
32112101022200000
42022220112100
533300404021
63334530000
7620615556
oct212502620
975338600
1036341136
11195716a7
1210206900
1376b5340
144b7dbd6
1532ccb26
hex22a8590

36341136 has 120 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 11166336.

The previous prime is 36341131. The next prime is 36341143. The reversal of 36341136 is 63114363.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (36341131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50185 + ... + 50903.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 236341136 is an apocalyptic number.

36341136 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 36341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

36341136 is an abundant number, since it is smaller than the sum of its proper divisors (77401584).

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

36341136 is a wasteful number, since it uses less digits than its factorization.

36341136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36341136 is about 6028.3609712757. The cubic root of 36341136 is about 331.2324164868.

Adding to 36341136 its reverse (63114363), we get a palindrome (99455499).

The spelling of 36341136 in words is "thirty-six million, three hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 719 936 972 1053 1296 1404 1438 1872 1944 2106 2157 2808 2876 3159 3888 4212 4314 5616 5752 6318 6471 8424 8628 9347 11504 12636 12942 16848 17256 18694 19413 25272 25884 28041 34512 37388 38826 50544 51768 56082 58239 74776 77652 84123 103536 112164 116478 149552 155304 168246 174717 224328 232956 252369 310608 336492 349434 448656 465912 504738 672984 698868 757107 931824 1009476 1345968 1397736 1514214 2018952 2271321 2795472 3028428 4037904 4542642 6056856 9085284 12113712 18170568 36341136