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36164340 = 22335193347
BaseRepresentation
bin1000100111110…
…1001011110100
32112001100011000
42021331023310
533224224330
63331043300
7616251252
oct211751364
975040130
1036164340
1119460893
1210140530
137652a24
144b355d2
153295560
hex227d2f4

36164340 has 96 divisors (see below), whose sum is σ = 113420160. Its totient is φ = 9566208.

The previous prime is 36164279. The next prime is 36164357. The reversal of 36164340 is 4346163.

36164340 is a `hidden beast` number, since 3 + 616 + 4 + 3 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104047 + ... + 104393.

It is an arithmetic number, because the mean of its divisors is an integer number (1181460).

Almost surely, 236164340 is an apocalyptic number.

36164340 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 36164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56710080).

36164340 is an abundant number, since it is smaller than the sum of its proper divisors (77255820).

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

36164340 is a wasteful number, since it uses less digits than its factorization.

36164340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36164340 is about 6013.6794061539. The cubic root of 36164340 is about 330.6944055344.

The spelling of 36164340 in words is "thirty-six million, one hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 347 386 540 579 694 772 965 1041 1158 1388 1735 1737 1930 2082 2316 2895 3123 3470 3474 3860 4164 5205 5211 5790 6246 6940 6948 8685 9369 10410 10422 11580 12492 15615 17370 18738 20820 20844 26055 31230 34740 37476 46845 52110 62460 66971 93690 104220 133942 187380 200913 267884 334855 401826 602739 669710 803652 1004565 1205478 1339420 1808217 2009130 2410956 3013695 3616434 4018260 6027390 7232868 9041085 12054780 18082170 36164340