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8430084 = 22321318013
BaseRepresentation
bin100000001010…
…001000000100
3120212021220100
4200022020010
54124230314
6500404100
7131440335
oct40121004
916767810
108430084
114838713
1229a6630
131992120
14119628c
15b17c09
hex80a204

8430084 has 36 divisors (see below), whose sum is σ = 22949836. Its totient is φ = 2593728.

The previous prime is 8430073. The next prime is 8430089. The reversal of 8430084 is 4800348.

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 3686400 = 2178^2 + 1920^2 .

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 (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8430089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8539 + ... + 9474.

Almost surely, 28430084 is an apocalyptic number.

It is an amenable number.

8430084 is an abundant number, since it is smaller than the sum of its proper divisors (14519752).

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

8430084 is a wasteful number, since it uses less digits than its factorization.

8430084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18036 (or 18031 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8430084 is about 2903.4606937240. The cubic root of 8430084 is about 203.5216589584.

The spelling of 8430084 in words is "eight million, four hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 18013 36026 54039 72052 108078 162117 216156 234169 324234 468338 648468 702507 936676 1405014 2107521 2810028 4215042 8430084