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2000634930 = 233577091493
BaseRepresentation
bin111011100111111…
…0100010000110010
312011102112210012000
41313033310100302
513044130304210
6530304314430
7100402054620
oct16717642062
95142483160
102000634930
119373406a8
1247a012a16
1325b63a368
1414d9c2510
15ba98aac0
hex773f4432

2000634930 has 128 divisors (see below), whose sum is σ = 6109862400. Its totient is φ = 456337152.

The previous prime is 2000634929. The next prime is 2000634959. The reversal of 2000634930 is 394360002.

2000634930 is a `hidden beast` number, since 20 + 0 + 0 + 634 + 9 + 3 + 0 = 666.

It is a super-2 number, since 2×20006349302 = 8005080246272209800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2000634894 and 2000634903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1339264 + ... + 1340756.

It is an arithmetic number, because the mean of its divisors is an integer number (47733300).

Almost surely, 22000634930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000634930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054931200).

2000634930 is an abundant number, since it is smaller than the sum of its proper divisors (4109227470).

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

2000634930 is a wasteful number, since it uses less digits than its factorization.

2000634930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2000634930 is about 44728.4577198901. The cubic root of 2000634930 is about 1260.0543627338.

Adding to 2000634930 its reverse (394360002), we get a palindrome (2394994932).

The spelling of 2000634930 in words is "two billion, six hundred thirty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 709 945 1418 1493 1890 2127 2986 3545 4254 4479 4963 6381 7090 7465 8958 9926 10451 10635 12762 13437 14889 14930 19143 20902 21270 22395 24815 26874 29778 31353 31905 38286 40311 44667 44790 49630 52255 62706 63810 67185 74445 80622 89334 94059 95715 104510 134001 134370 148890 156765 188118 191430 201555 223335 268002 282177 313530 403110 446670 470295 564354 670005 940590 1058537 1340010 1410885 2117074 2821770 3175611 5292685 6351222 7409759 9526833 10585370 14819518 15878055 19053666 22229277 28580499 31756110 37048795 44458554 47634165 57160998 66687831 74097590 95268330 111146385 133375662 142902495 200063493 222292770 285804990 333439155 400126986 666878310 1000317465 2000634930