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506340009 = 327232231567
BaseRepresentation
bin11110001011100…
…010001010101001
31022021202201220200
4132023202022221
52014110340014
6122124342413
715355550640
oct3613421251
91267681820
10506340009
1123a8a781a
121216a4a09
1380b94a96
144b366357
152e6bba09
hex1e2e22a9

506340009 has 48 divisors (see below), whose sum is σ = 876675072. Its totient is φ = 275340384.

The previous prime is 506339959. The next prime is 506340017. The reversal of 506340009 is 900043605.

It is a happy number.

It is not a de Polignac number, because 506340009 - 212 = 506335913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506340049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322344 + ... + 323910.

It is an arithmetic number, because the mean of its divisors is an integer number (18264064).

Almost surely, 2506340009 is an apocalyptic number.

It is an amenable number.

506340009 is a deficient number, since it is larger than the sum of its proper divisors (370335063).

506340009 is a wasteful number, since it uses less digits than its factorization.

506340009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 506340009 is about 22502.0001111012. Note that the first 3 decimals coincide. The cubic root of 506340009 is about 797.0411580806.

The spelling of 506340009 in words is "five hundred six million, three hundred forty thousand, nine".

Divisors: 1 3 7 9 21 23 63 69 161 207 223 483 669 1449 1561 1567 2007 4683 4701 5129 10969 14049 14103 15387 32907 35903 36041 46161 98721 107709 108123 252287 323127 324369 349441 756861 1048323 2270583 2446087 3144969 7338261 8037143 22014783 24111429 56260001 72334287 168780003 506340009