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84034145 = 51317113673
BaseRepresentation
bin1010000001001…
…00001001100001
312212010101011202
411000210021201
5133003043040
612201050545
72040164336
oct500441141
9185111152
1084034145
1143487108
1224186a55
1314543660
14b23698d
15759e015
hex5024261

84034145 has 32 divisors (see below), whose sum is σ = 116176032. Its totient is φ = 57802752.

The previous prime is 84034129. The next prime is 84034151. The reversal of 84034145 is 54143048.

It can be written as a sum of positive squares in 16 ways, for example, as 53640976 + 30393169 = 7324^2 + 5513^2 .

It is a cyclic number.

It is not a de Polignac number, because 84034145 - 24 = 84034129 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124529 + ... + 125201.

It is an arithmetic number, because the mean of its divisors is an integer number (3630501).

Almost surely, 284034145 is an apocalyptic number.

84034145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84034145 is a deficient number, since it is larger than the sum of its proper divisors (32141887).

84034145 is a wasteful number, since it uses less digits than its factorization.

84034145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 84034145 is about 9167.0139631180. The cubic root of 84034145 is about 438.0112466966.

The spelling of 84034145 in words is "eighty-four million, thirty-four thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 113 221 565 673 1105 1469 1921 3365 7345 8749 9605 11441 24973 43745 57205 76049 124865 148733 380245 743665 988637 1292833 4943185 6464165 16806829 84034145