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830643336 = 23342515107
BaseRepresentation
bin110001100000101…
…001110010001000
32010220000001110000
4301200221302020
53200121041321
6214231323000
726404231455
oct6140516210
92126001400
10830643336
113969706a6
121b2220460
13103121943
147c46482c
154cdcb826
hex31829c88

830643336 has 80 divisors (see below), whose sum is σ = 2336297040. Its totient is φ = 275724000.

The previous prime is 830643323. The next prime is 830643337. The reversal of 830643336 is 633346038.

It is a happy number.

830643336 is a `hidden beast` number, since 8 + 3 + 0 + 643 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 830643336.

It is not an unprimeable number, because it can be changed into a prime (830643337) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 160095 + ... + 165201.

It is an arithmetic number, because the mean of its divisors is an integer number (29203713).

Almost surely, 2830643336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830643336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168148520).

830643336 is an abundant number, since it is smaller than the sum of its proper divisors (1505653704).

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

830643336 is a wasteful number, since it uses less digits than its factorization.

830643336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 830643336 is about 28820.8836783330. The cubic root of 830643336 is about 940.0223836529.

The spelling of 830643336 in words is "eight hundred thirty million, six hundred forty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 251 324 502 648 753 1004 1506 2008 2259 3012 4518 5107 6024 6777 9036 10214 13554 15321 18072 20331 20428 27108 30642 40662 40856 45963 54216 61284 81324 91926 122568 137889 162648 183852 275778 367704 413667 551556 827334 1103112 1281857 1654668 2563714 3309336 3845571 5127428 7691142 10254856 11536713 15382284 23073426 30764568 34610139 46146852 69220278 92293704 103830417 138440556 207660834 276881112 415321668 830643336