Base | Representation |
---|---|
bin | 1111111110011… |
… | …0101110011101 |
3 | 11200002020001022 |
4 | 3333212232131 |
5 | 114123132331 |
6 | 10352053525 |
7 | 1442351564 |
oct | 377465635 |
9 | 150066038 |
10 | 67005341 |
11 | 34906117 |
12 | 1a5342a5 |
13 | 10b60740 |
14 | 8c82bdb |
15 | 5d3867b |
hex | 3fe6b9d |
67005341 has 16 divisors (see below), whose sum is σ = 75524400. Its totient is φ = 59017728.
The previous prime is 67005317. The next prime is 67005359. The reversal of 67005341 is 14350076.
It can be written as a sum of positive squares in 8 ways, for example, as 25351225 + 41654116 = 5035^2 + 6454^2 .
It is a cyclic number.
It is not a de Polignac number, because 67005341 - 218 = 66743197 is a prime.
It is a Duffinian number.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 67005341.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (67005361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32555 + ... + 34551.
It is an arithmetic number, because the mean of its divisors is an integer number (4720275).
Almost surely, 267005341 is an apocalyptic number.
It is an amenable number.
67005341 is a deficient number, since it is larger than the sum of its proper divisors (8519059).
67005341 is a wasteful number, since it uses less digits than its factorization.
67005341 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2128.
The product of its (nonzero) digits is 2520, while the sum is 26.
The square root of 67005341 is about 8185.6790188719. The cubic root of 67005341 is about 406.1656021600.
The spelling of 67005341 in words is "sixty-seven million, five thousand, three hundred forty-one".
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