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683684064 = 253473769
BaseRepresentation
bin101000110000000…
…011000011100000
31202122110202020000
4220300003003200
52400010342224
6151501420000
722641135000
oct5060030340
91678422200
10683684064
11320a15a58
12170b6a600
13ab848aab
1466b2c000
154004d0c9
hex28c030e0

683684064 has 240 divisors, whose sum is σ = 2347884000. Its totient is φ = 195084288.

The previous prime is 683684041. The next prime is 683684069. The reversal of 683684064 is 460486386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683684069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888672 + ... + 889440.

It is an arithmetic number, because the mean of its divisors is an integer number (9782850).

Almost surely, 2683684064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683684064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173942000).

683684064 is an abundant number, since it is smaller than the sum of its proper divisors (1664199936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

683684064 is an equidigital number, since it uses as much as digits as its factorization.

683684064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 683684064 is about 26147.3529061739. The cubic root of 683684064 is about 880.9511341457.

The spelling of 683684064 in words is "six hundred eighty-three million, six hundred eighty-four thousand, sixty-four".