Search a number
-
+
36341100 = 223252149271
BaseRepresentation
bin1000101010100…
…0010101101100
32112101022121200
42022220111230
533300403400
63334525500
7620615505
oct212502554
975338550
1036341100
1119571674
1210206890
1376b5313
144b7dbac
1532ccb00
hex22a856c

36341100 has 108 divisors (see below), whose sum is σ = 115096800. Its totient is φ = 9590400.

The previous prime is 36341051. The next prime is 36341131. The reversal of 36341100 is 114363.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 133965 + ... + 134235.

Almost surely, 236341100 is an apocalyptic number.

36341100 is a gapful number since it is divisible by the number (30) 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 36341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548400).

36341100 is an abundant number, since it is smaller than the sum of its proper divisors (78755700).

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

36341100 is a wasteful number, since it uses less digits than its factorization.

36341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36341100 is about 6028.3579853887. The cubic root of 36341100 is about 331.2323071124.

Adding to 36341100 its reverse (114363), we get a palindrome (36455463).

The spelling of 36341100 in words is "thirty-six million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 271 298 300 447 450 542 596 745 813 894 900 1084 1341 1355 1490 1626 1788 2235 2439 2682 2710 2980 3252 3725 4065 4470 4878 5364 5420 6705 6775 7450 8130 8940 9756 11175 12195 13410 13550 14900 16260 20325 22350 24390 26820 27100 33525 40379 40650 44700 48780 60975 67050 80758 81300 121137 121950 134100 161516 201895 242274 243900 363411 403790 484548 605685 726822 807580 1009475 1211370 1453644 1817055 2018950 2422740 3028425 3634110 4037900 6056850 7268220 9085275 12113700 18170550 36341100