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2001324024 = 233472319183
BaseRepresentation
bin111011101001001…
…1100011111111000
312011110211210110000
41313102130133320
513044314332044
6530331153000
7100410654630
oct16722343770
95143753400
102001324024
119377713a7
1247a2a5760
1325b81bbcb
1414db216c0
15baa74d69
hex7749c7f8

2001324024 has 160 divisors (see below), whose sum is σ = 6685240320. Its totient is φ = 546917184.

The previous prime is 2001323977. The next prime is 2001324067. The reversal of 2001324024 is 4204231002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001323988 and 2001324006.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 94737 + ... + 113919.

It is an arithmetic number, because the mean of its divisors is an integer number (41782752).

Almost surely, 22001324024 is an apocalyptic number.

2001324024 is a gapful number since it is divisible by the number (24) 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 2001324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342620160).

2001324024 is an abundant number, since it is smaller than the sum of its proper divisors (4683916296).

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

2001324024 is a wasteful number, since it uses less digits than its factorization.

2001324024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231 (or 19218 counting only the distinct ones).

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

The square root of 2001324024 is about 44736.1601391984. The cubic root of 2001324024 is about 1260.1990161829.

Adding to 2001324024 its reverse (4204231002), we get a palindrome (6205555026).

The spelling of 2001324024 in words is "two billion, one million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 19183 26082 34776 38366 52164 57549 76732 104328 115098 134281 153464 172647 230196 268562 345294 402843 441209 460392 517941 537124 690588 805686 882418 1035882 1074248 1208529 1323627 1381176 1553823 1611372 1764836 2071764 2417058 2647254 3088463 3107646 3222744 3529672 3625587 3970881 4143528 4834116 5294508 6176926 6215292 7251174 7941762 9265389 9668232 10589016 10876761 11912643 12353852 12430584 14502348 15883524 18530778 21753522 23825286 24707704 27796167 29004696 31767048 35737929 37061556 43507044 47650572 55592334 71475858 74123112 83388501 87014088 95301144 111184668 142951716 166777002 222369336 250165503 285903432 333554004 500331006 667108008 1000662012 2001324024