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84004224 = 273218761
BaseRepresentation
bin1010000000111…
…00110110000000
312212001212010120
411000130312000
5133001113344
612200300240
72040011163
oct500346600
9185055116
1084004224
1143466687
1224171680
1314532b55
14b229ada
157595219
hex501cd80

84004224 has 32 divisors (see below), whose sum is σ = 223137240. Its totient is φ = 28001280.

The previous prime is 84004223. The next prime is 84004237. The reversal of 84004224 is 42240048.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 84004194 and 84004203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84004223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108997 + ... + 109764.

Almost surely, 284004224 is an apocalyptic number.

It is an amenable number.

84004224 is an abundant number, since it is smaller than the sum of its proper divisors (139133016).

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

84004224 is a wasteful number, since it uses less digits than its factorization.

84004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218778 (or 218766 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 84004224 is about 9165.3818251069. The cubic root of 84004224 is about 437.9592547740.

The spelling of 84004224 in words is "eighty-four million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 218761 437522 656283 875044 1312566 1750088 2625132 3500176 5250264 7000352 10500528 14000704 21001056 28001408 42002112 84004224