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678666240 = 2133257263
BaseRepresentation
bin101000011100111…
…010000000000000
31202022000211001200
4220130322000000
52342214304430
6151202101200
722550365530
oct5034720000
91668024050
10678666240
113190a8a9a
1216b34a800
13aa7acb75
14661c34c0
153e8ab460
hex2873a000

678666240 has 336 divisors, whose sum is σ = 2698869888. Its totient is φ = 154533888.

The previous prime is 678666227. The next prime is 678666253. The reversal of 678666240 is 42666876.

It is an interprime number because it is at equal distance from previous prime (678666227) and next prime (678666253).

It is a tau number, because it is divible by the number of its divisors (336).

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 23 ways as a sum of consecutive naturals, for example, 2580349 + ... + 2580611.

Almost surely, 2678666240 is an apocalyptic number.

678666240 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 678666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349434944).

678666240 is an abundant number, since it is smaller than the sum of its proper divisors (2020203648).

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

678666240 is a wasteful number, since it uses less digits than its factorization.

678666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 678666240 is about 26051.2233877797. The cubic root of 678666240 is about 878.7906252317.

The spelling of 678666240 in words is "six hundred seventy-eight million, six hundred sixty-six thousand, two hundred forty".