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2001044430 = 2325711288751
BaseRepresentation
bin111011101000101…
…1000001111001110
312011110022120220200
41313101120033032
513044231410210
6530321154330
7100405411530
oct16721301716
95143276820
102001044430
119375a0330
1247a18b9a6
1325b751878
1414da8b850
15baa1c0c0
hex774583ce

2001044430 has 96 divisors (see below), whose sum is σ = 6486524928. Its totient is φ = 415800000.

The previous prime is 2001044363. The next prime is 2001044443. The reversal of 2001044430 is 344401002.

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

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 137446 + ... + 151305.

It is an arithmetic number, because the mean of its divisors is an integer number (67567968).

Almost surely, 22001044430 is an apocalyptic number.

2001044430 is an abundant number, since it is smaller than the sum of its proper divisors (4485480498).

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

2001044430 is a wasteful number, since it uses less digits than its factorization.

2001044430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288782 (or 288779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2001044430 is about 44733.0351082955. The cubic root of 2001044430 is about 1260.1403282862.

Adding to 2001044430 its reverse (344401002), we get a palindrome (2345445432).

The spelling of 2001044430 in words is "two billion, one million, forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 288751 577502 866253 1443755 1732506 2021257 2598759 2887510 3176261 4042514 4331265 5197518 6063771 6352522 8662530 9528783 10106285 12127542 12993795 15881305 18191313 19057566 20212570 22233827 25987590 28586349 30318855 31762610 36382626 44467654 47643915 57172698 60637710 66701481 90956565 95287830 111169135 133402962 142931745 181913130 200104443 222338270 285863490 333507405 400208886 667014810 1000522215 2001044430