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36034164 = 2232612269
BaseRepresentation
bin1000100101110…
…1011001110100
32111210201120200
42021131121310
533211043124
63324200500
7615166605
oct211353164
974721520
1036034164
1119382001
1210099130
1376086ba
144adddac
15326bbc9
hex225d674

36034164 has 54 divisors (see below), whose sum is σ = 92948310. Its totient is φ = 11770560.

The previous prime is 36034109. The next prime is 36034171. The reversal of 36034164 is 46143063.

36034164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7518564 + 28515600 = 2742^2 + 5340^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133822 + ... + 134090.

It is an arithmetic number, because the mean of its divisors is an integer number (1721265).

Almost surely, 236034164 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 36034164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46474155).

36034164 is an abundant number, since it is smaller than the sum of its proper divisors (56914146).

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

36034164 is a wasteful number, since it uses less digits than its factorization.

36034164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 335 counting only the distinct ones).

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

The square root of 36034164 is about 6002.8463248696. The cubic root of 36034164 is about 330.2971428309.

The spelling of 36034164 in words is "thirty-six million, thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 269 366 538 549 732 807 1076 1098 1614 2196 2421 3228 3721 4842 7442 9684 11163 14884 16409 22326 32818 33489 44652 49227 65636 66978 98454 133956 147681 196908 295362 590724 1000949 2001898 3002847 4003796 6005694 9008541 12011388 18017082 36034164