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684455040 = 27325331359
BaseRepresentation
bin101000110010111…
…111010010000000
31202200220220210200
4220302333102000
52400210030130
6151530125200
722650525513
oct5062772200
91680826720
10684455040
113213a2225
12171280800
13aba589a9
1466c8cd7a
1540151760
hex28cbf480

684455040 has 192 divisors, whose sum is σ = 2377252800. Its totient is φ = 181463040.

The previous prime is 684455033. The next prime is 684455041. The reversal of 684455040 is 40554486.

684455040 is a `hidden beast` number, since 68 + 4 + 4 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 684454986 and 684455004.

It is not an unprimeable number, because it can be changed into a prime (684455041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1906381 + ... + 1906739.

It is an arithmetic number, because the mean of its divisors is an integer number (12381525).

Almost surely, 2684455040 is an apocalyptic number.

684455040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188626400).

684455040 is an abundant number, since it is smaller than the sum of its proper divisors (1692797760).

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

684455040 is a wasteful number, since it uses less digits than its factorization.

684455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 684455040 is about 26162.0916594985. The cubic root of 684455040 is about 881.2821530445.

The spelling of 684455040 in words is "six hundred eighty-four million, four hundred fifty-five thousand, forty".