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1689346305 = 325181207409
BaseRepresentation
bin110010010110001…
…0110000100000001
311100201210200110200
41210230112010001
511424433040210
6435344315413
756602130613
oct14454260401
94321720420
101689346305
11797656979
123b1912b69
1320bcb92ca
14120510db3
159d49c0c0
hex64b16101

1689346305 has 24 divisors (see below), whose sum is σ = 2944392360. Its totient is φ = 896002560.

The previous prime is 1689346273. The next prime is 1689346339. The reversal of 1689346305 is 5036439861.

1689346305 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 3 + 4 + 630 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202549824 + 1486796481 = 14232^2 + 38559^2 .

It is not a de Polignac number, because 1689346305 - 25 = 1689346273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95560 + ... + 111849.

It is an arithmetic number, because the mean of its divisors is an integer number (122683015).

Almost surely, 21689346305 is an apocalyptic number.

1689346305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1689346305 is a deficient number, since it is larger than the sum of its proper divisors (1255046055).

1689346305 is a wasteful number, since it uses less digits than its factorization.

1689346305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207601 (or 207598 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1689346305 is about 41101.6581782293. The cubic root of 1689346305 is about 1190.9848272383.

The spelling of 1689346305 in words is "one billion, six hundred eighty-nine million, three hundred forty-six thousand, three hundred five".

Divisors: 1 3 5 9 15 45 181 543 905 1629 2715 8145 207409 622227 1037045 1866681 3111135 9333405 37541029 112623087 187705145 337869261 563115435 1689346305