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1684338405 = 35616532819
BaseRepresentation
bin110010001100100…
…1111011011100101
311100101101020220220
41210121033123211
511422142312110
6435045114553
756511432411
oct14431173345
94311336826
101684338405
11794846412
123b00b8a59
1320ac54a59
1411d9a9d41
159cd0d370
hex6464f6e5

1684338405 has 32 divisors (see below), whose sum is σ = 2744288640. Its totient is φ = 881921280.

The previous prime is 1684338311. The next prime is 1684338419. The reversal of 1684338405 is 5048334861.

It is not a de Polignac number, because 1684338405 - 210 = 1684337381 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596086 + ... + 598904.

It is an arithmetic number, because the mean of its divisors is an integer number (85759020).

Almost surely, 21684338405 is an apocalyptic number.

1684338405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1684338405 is a deficient number, since it is larger than the sum of its proper divisors (1059950235).

1684338405 is a wasteful number, since it uses less digits than its factorization.

1684338405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541.

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1684338405 is about 41040.6920628783. The cubic root of 1684338405 is about 1189.8068101986.

The spelling of 1684338405 in words is "one billion, six hundred eighty-four million, three hundred thirty-eight thousand, four hundred five".

Divisors: 1 3 5 15 61 183 305 653 915 1959 2819 3265 8457 9795 14095 39833 42285 119499 171959 199165 515877 597495 859795 1840807 2579385 5522421 9204035 27612105 112289227 336867681 561446135 1684338405