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84406329 = 3276771979
BaseRepresentation
bin1010000011111…
…11000000111001
312212211021201100
411001333000321
5133102000304
612213042013
72043304410
oct501770071
9185737640
1084406329
11437107a7
1224326309
1314643b97
14b2d2477
157624439
hex507f039

84406329 has 24 divisors (see below), whose sum is σ = 139613760. Its totient is φ = 48136608.

The previous prime is 84406277. The next prime is 84406339. The reversal of 84406329 is 92360448.

It is a happy number.

It is not a de Polignac number, because 84406329 - 28 = 84406073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84406293 and 84406302.

It is not an unprimeable number, because it can be changed into a prime (84406339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41662 + ... + 43640.

It is an arithmetic number, because the mean of its divisors is an integer number (5817240).

Almost surely, 284406329 is an apocalyptic number.

It is an amenable number.

84406329 is a deficient number, since it is larger than the sum of its proper divisors (55207431).

84406329 is a wasteful number, since it uses less digits than its factorization.

84406329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 84406329 is about 9187.2917119247. The cubic root of 84406329 is about 438.6569393785.

The spelling of 84406329 in words is "eighty-four million, four hundred six thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 63 677 1979 2031 4739 5937 6093 13853 14217 17811 41559 42651 124677 1339783 4019349 9378481 12058047 28135443 84406329