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36134064 = 2432349719
BaseRepresentation
bin1000100111010…
…1110010110000
32111222210121200
42021311302300
533222242224
63330251200
7616064061
oct211656260
974883550
1036134064
111944006a
1210126b00
137642005
144b28568
15328b5c9
hex2275cb0

36134064 has 60 divisors (see below), whose sum is σ = 101556000. Its totient is φ = 11993472.

The previous prime is 36134053. The next prime is 36134069. The reversal of 36134064 is 46043163.

36134064 is a `hidden beast` number, since 3 + 613 + 40 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (36134069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49897 + ... + 50615.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 236134064 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 36134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778000).

36134064 is an abundant number, since it is smaller than the sum of its proper divisors (65421936).

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

36134064 is a wasteful number, since it uses less digits than its factorization.

36134064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1073 counting only the distinct ones).

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

The square root of 36134064 is about 6011.1616181899. The cubic root of 36134064 is about 330.6020963786.

Subtracting 36134064 from its reverse (46043163), we obtain a palindrome (9909099).

The spelling of 36134064 in words is "thirty-six million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 719 1047 1396 1438 2094 2157 2792 2876 3141 4188 4314 5584 5752 6282 6471 8376 8628 11504 12564 12942 16752 17256 25128 25884 34512 50256 51768 103536 250931 501862 752793 1003724 1505586 2007448 2258379 3011172 4014896 4516758 6022344 9033516 12044688 18067032 36134064