Search a number
-
+
2000301328 = 241783251353
BaseRepresentation
bin111011100111010…
…0010110100010000
312011101220211120101
41313032202310100
513044034120303
6530253222144
7100366165204
oct16716426420
95141824511
102000301328
11937132aa3
12479a91954
1325b55156c
1414d936b04
15ba921d1d
hex773a2d10

2000301328 has 80 divisors (see below), whose sum is σ = 4181357376. Its totient is φ = 923648000.

The previous prime is 2000301293. The next prime is 2000301337. The reversal of 2000301328 is 8231030002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5666400 + ... + 5666752.

Almost surely, 22000301328 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 2000301328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090678688).

2000301328 is an abundant number, since it is smaller than the sum of its proper divisors (2181056048).

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

2000301328 is a wasteful number, since it uses less digits than its factorization.

2000301328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2000301328 is about 44724.7283725681. The cubic root of 2000301328 is about 1259.9843216324.

The spelling of 2000301328 in words is "two billion, three hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 83 136 166 251 272 332 353 502 664 706 1004 1328 1411 1412 2008 2822 2824 4016 4267 5644 5648 6001 8534 11288 12002 17068 20833 22576 24004 29299 34136 41666 48008 58598 68272 83332 88603 96016 117196 166664 177206 234392 333328 354161 354412 468784 498083 708322 708824 996166 1416644 1417648 1506251 1992332 2833288 3012502 3984664 5666576 6025004 7354049 7969328 12050008 14708098 24100016 29416196 58832392 117664784 125018833 250037666 500075332 1000150664 2000301328