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678297984 = 27372134759
BaseRepresentation
bin101000011011100…
…000000110000000
31202021100002220120
4220123200012000
52342121013414
6151150140240
722544303100
oct5033400600
91667302816
10678297984
11318977351
1216b1b1680
13aa6b1370
1466129200
153e8372a9
hex286e0180

678297984 has 384 divisors, whose sum is σ = 2344204800. Its totient is φ = 172118016.

The previous prime is 678297959. The next prime is 678298001. The reversal of 678297984 is 489792876.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11496547 + ... + 11496605.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2678297984 is an apocalyptic number.

678297984 is a gapful number since it is divisible by the number (64) 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 678297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

678297984 is an abundant number, since it is smaller than the sum of its proper divisors (1665906816).

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

678297984 is a wasteful number, since it uses less digits than its factorization.

678297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 678297984 is about 26044.1545072978. The cubic root of 678297984 is about 878.6316474932.

The spelling of 678297984 in words is "six hundred seventy-eight million, two hundred ninety-seven thousand, nine hundred eighty-four".