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684405941 = 1731241893
BaseRepresentation
bin101000110010110…
…011010010110101
31202200211102110012
4220302303102311
52400201442231
6151525110005
722650232412
oct5062632265
91680742405
10684405941
1132136934a
12171258305
13aba3c53b
1466c79109
1540141e2b
hex28cb34b5

684405941 has 12 divisors (see below), whose sum is σ = 748813356. Its totient is φ = 623352960.

The previous prime is 684405923. The next prime is 684405961. The reversal of 684405941 is 149504486.

684405941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 577200625 + 107205316 = 24025^2 + 10354^2 .

It is a de Polignac number, because none of the positive numbers 2k-684405941 is a prime.

It is a super-2 number, since 2×6844059412 = 936822984152190962, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684405901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4610 + ... + 37283.

It is an arithmetic number, because the mean of its divisors is an integer number (62401113).

Almost surely, 2684405941 is an apocalyptic number.

It is an amenable number.

684405941 is a deficient number, since it is larger than the sum of its proper divisors (64407415).

684405941 is a wasteful number, since it uses less digits than its factorization.

684405941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41972 (or 41941 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 684405941 is about 26161.1532811533. The cubic root of 684405941 is about 881.2610797795.

The spelling of 684405941 in words is "six hundred eighty-four million, four hundred five thousand, nine hundred forty-one".

Divisors: 1 17 31 527 961 16337 41893 712181 1298683 22077611 40259173 684405941