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683382000 = 24353753307
BaseRepresentation
bin101000101110111…
…001010011110000
31202121220101212110
4220232321103300
52344421211000
6151451125320
722635436230
oct5056712360
91677811773
10683382000
1132082a014
12170a43840
13ab771462
1466a8dcc0
153eedd850
hex28bb94f0

683382000 has 320 divisors, whose sum is σ = 2573835264. Its totient is φ = 152755200.

The previous prime is 683381999. The next prime is 683382001. The reversal of 683382000 is 283386.

683382000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (683381999) and next prime (683382001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683382001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2225847 + ... + 2226153.

Almost surely, 2683382000 is an apocalyptic number.

683382000 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 683382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

683382000 is an abundant number, since it is smaller than the sum of its proper divisors (1890453264).

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

683382000 is a wasteful number, since it uses less digits than its factorization.

683382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 683382000 is about 26141.5760810246. The cubic root of 683382000 is about 880.8213749792.

The spelling of 683382000 in words is "six hundred eighty-three million, three hundred eighty-two thousand".