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678394080 = 2532571331167
BaseRepresentation
bin101000011011110…
…111100011100000
31202021111222201200
4220123313203200
52342132102310
6151152201200
722545153210
oct5033674340
91667458650
10678394080
11318a32571
1216b239200
13aa716020
1466152240
153e8559c0
hex286f78e0

678394080 has 576 divisors, whose sum is σ = 2958778368. Its totient is φ = 137687040.

The previous prime is 678394063. The next prime is 678394103. The reversal of 678394080 is 80493876.

It is a happy number.

678394080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062157 + ... + 4062323.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2678394080 is an apocalyptic number.

678394080 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 678394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479389184).

678394080 is an abundant number, since it is smaller than the sum of its proper divisors (2280384288).

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

678394080 is a wasteful number, since it uses less digits than its factorization.

678394080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 678394080 is about 26045.9993089150. Note that the first 3 decimals coincide. The cubic root of 678394080 is about 878.6731381074.

The spelling of 678394080 in words is "six hundred seventy-eight million, three hundred ninety-four thousand, eighty".