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36330084 = 22327144167
BaseRepresentation
bin1000101010010…
…1101001100100
32112100202111200
42022211221210
533300030314
63334402500
7620541420
oct212455144
975322450
1036330084
111956436a
1210200430
1376b02bb
144b79b80
1532c9709
hex22a5a64

36330084 has 36 divisors (see below), whose sum is σ = 104954304. Its totient is φ = 10379952.

The previous prime is 36330083. The next prime is 36330097. The reversal of 36330084 is 48003363.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (36330083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71832 + ... + 72335.

Almost surely, 236330084 is an apocalyptic number.

It is an amenable number.

36330084 is an abundant number, since it is smaller than the sum of its proper divisors (68624220).

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

36330084 is a wasteful number, since it uses less digits than its factorization.

36330084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144184 (or 144179 counting only the distinct ones).

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

The square root of 36330084 is about 6027.4442344994. Note that the first 3 decimals coincide. The cubic root of 36330084 is about 331.1988351496.

The spelling of 36330084 in words is "thirty-six million, three hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 144167 288334 432501 576668 865002 1009169 1297503 1730004 2018338 2595006 3027507 4036676 5190012 6055014 9082521 12110028 18165042 36330084