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683688816 = 24334613433
BaseRepresentation
bin101000110000000…
…100001101110000
31202122110222202000
4220300010031300
52400011020231
6151501454000
722641154566
oct5060041560
91678428660
10683688816
11320a19588
12170b71300
13ab84acc5
1466b2da36
154004e6e6
hex28c04370

683688816 has 80 divisors (see below), whose sum is σ = 1967269920. Its totient is φ = 227335680.

The previous prime is 683688809. The next prime is 683688821. The reversal of 683688816 is 618886386.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197436 + ... + 200868.

It is an arithmetic number, because the mean of its divisors is an integer number (24590874).

Almost surely, 2683688816 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 683688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983634960).

683688816 is an abundant number, since it is smaller than the sum of its proper divisors (1283581104).

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

683688816 is a wasteful number, since it uses less digits than its factorization.

683688816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3899 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 683688816 is about 26147.4437756351. The cubic root of 683688816 is about 880.9531751811.

The spelling of 683688816 in words is "six hundred eighty-three million, six hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 461 922 1383 1844 2766 3433 3688 4149 5532 6866 7376 8298 10299 11064 12447 13732 16596 20598 22128 24894 27464 30897 33192 41196 49788 54928 61794 66384 82392 92691 99576 123588 164784 185382 199152 247176 370764 494352 741528 1483056 1582613 3165226 4747839 6330452 9495678 12660904 14243517 18991356 25321808 28487034 37982712 42730551 56974068 75965424 85461102 113948136 170922204 227896272 341844408 683688816