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2001403332 = 2232297326261
BaseRepresentation
bin111011101001010…
…1111110111000100
312011110222211020100
41313102233313010
513044324401312
6530333004100
7100411435065
oct16722576704
95143884210
102001403332
11937815a45
1247a323630
1325b849036
1414db4256c
15baa8d5dc
hex774afdc4

2001403332 has 72 divisors (see below), whose sum is σ = 5305449240. Its totient is φ = 635281920.

The previous prime is 2001403321. The next prime is 2001403357. The reversal of 2001403332 is 2333041002.

It can be written as a sum of positive squares in 4 ways, for example, as 14561856 + 1986841476 = 3816^2 + 44574^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63082 + ... + 89342.

It is an arithmetic number, because the mean of its divisors is an integer number (73686795).

Almost surely, 22001403332 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 2001403332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652724620).

2001403332 is an abundant number, since it is smaller than the sum of its proper divisors (3304045908).

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

2001403332 is a wasteful number, since it uses less digits than its factorization.

2001403332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26373 (or 26368 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2001403332 is about 44737.0465274586. The cubic root of 2001403332 is about 1260.2156622536.

Adding to 2001403332 its reverse (2333041002), we get a palindrome (4334444334).

The spelling of 2001403332 in words is "two billion, one million, four hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 73 87 116 146 174 219 261 292 348 438 522 657 876 1044 1314 2117 2628 4234 6351 8468 12702 19053 25404 26261 38106 52522 76212 78783 105044 157566 236349 315132 472698 761569 945396 1523138 1917053 2284707 3046276 3834106 4569414 5751159 6854121 7668212 9138828 11502318 13708242 17253477 23004636 27416484 34506954 55594537 69013908 111189074 166783611 222378148 333567222 500350833 667134444 1000701666 2001403332