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840814164 = 223238960041
BaseRepresentation
bin110010000111011…
…100111001010100
32011121010210012100
4302013130321110
53210222023124
6215233322100
726556542151
oct6207347124
92147123170
10840814164
113a1688143
121b5706330
13105273198
147d951228
154dc3a1c9
hex321dce54

840814164 has 36 divisors (see below), whose sum is σ = 2130890580. Its totient is φ = 279546240.

The previous prime is 840814127. The next prime is 840814181. The reversal of 840814164 is 461418048.

840814164 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 2 ways, for example, as 612562500 + 228251664 = 24750^2 + 15108^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16017 + ... + 44024.

It is an arithmetic number, because the mean of its divisors is an integer number (59191405).

Almost surely, 2840814164 is an apocalyptic number.

It is an amenable number.

840814164 is an abundant number, since it is smaller than the sum of its proper divisors (1290076416).

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

840814164 is a wasteful number, since it uses less digits than its factorization.

840814164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60440 (or 60435 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 840814164 is about 28996.7957540139. The cubic root of 840814164 is about 943.8435370413.

The spelling of 840814164 in words is "eight hundred forty million, eight hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 60041 120082 180123 240164 360246 540369 720492 1080738 2161476 23355949 46711898 70067847 93423796 140135694 210203541 280271388 420407082 840814164