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84434976 = 2532293177
BaseRepresentation
bin1010000100001…
…10000000100000
312212212202000100
411002012000200
5133103404401
612213422400
72043454053
oct502060040
9185782010
1084434976
114373027a
122433aa00
1314653c32
14b2dca9a
15762cb86
hex5086020

84434976 has 36 divisors (see below), whose sum is σ = 240112782. Its totient is φ = 28144896.

The previous prime is 84434957. The next prime is 84434981. The reversal of 84434976 is 67943448.

It can be written as a sum of positive squares in only one way, i.e., 79923600 + 4511376 = 8940^2 + 2124^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146301 + ... + 146876.

Almost surely, 284434976 is an apocalyptic number.

It is an amenable number.

84434976 is an abundant number, since it is smaller than the sum of its proper divisors (155677806).

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

84434976 is a wasteful number, since it uses less digits than its factorization.

84434976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293193 (or 293182 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 84434976 is about 9188.8506354168. The cubic root of 84434976 is about 438.7065596069.

The spelling of 84434976 in words is "eighty-four million, four hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293177 586354 879531 1172708 1759062 2345416 2638593 3518124 4690832 5277186 7036248 9381664 10554372 14072496 21108744 28144992 42217488 84434976