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678646080 = 2633573229
BaseRepresentation
bin101000011100110…
…101000101000000
31202021222210102000
4220130311011000
52342213133310
6151201424000
722550253000
oct5034650500
91667883360
10678646080
11319094932
1216b33b000
13aa7a3938
14661ba000
153e8a54c0
hex28735140

678646080 has 448 divisors, whose sum is σ = 2804160000. Its totient is φ = 154441728.

The previous prime is 678646049. The next prime is 678646121. The reversal of 678646080 is 80646876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2963406 + ... + 2963634.

Almost surely, 2678646080 is an apocalyptic number.

678646080 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 678646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402080000).

678646080 is an abundant number, since it is smaller than the sum of its proper divisors (2125513920).

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

678646080 is a wasteful number, since it uses less digits than its factorization.

678646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 678646080 is about 26050.8364549010. The cubic root of 678646080 is about 878.7819235590.

The spelling of 678646080 in words is "six hundred seventy-eight million, six hundred forty-six thousand, eighty".