Search a number
-
+
2130342304 = 25475572543
BaseRepresentation
bin111111011111010…
…0111000110100000
312111110121121020211
41332332213012200
513330331423204
6551220343504
7103535416336
oct17676470640
95443547224
102130342304
119a3582782
124b5544b94
1327c48289c
14162d07b56
15c705c804
hex7efa71a0

2130342304 has 48 divisors (see below), whose sum is σ = 4292725248. Its totient is φ = 1040227072.

The previous prime is 2130342293. The next prime is 2130342311. The reversal of 2130342304 is 4032430312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836457 + ... + 838999.

It is an arithmetic number, because the mean of its divisors is an integer number (89431776).

Almost surely, 22130342304 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 2130342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146362624).

2130342304 is an abundant number, since it is smaller than the sum of its proper divisors (2162382944).

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

2130342304 is a wasteful number, since it uses less digits than its factorization.

2130342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2130342304 is about 46155.6313357319. The cubic root of 2130342304 is about 1286.7172716128.

Adding to 2130342304 its reverse (4032430312), we get a palindrome (6162772616).

The spelling of 2130342304 in words is "two billion, one hundred thirty million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 47 94 188 376 557 752 1114 1504 2228 2543 4456 5086 8912 10172 17824 20344 26179 40688 52358 81376 104716 119521 209432 239042 418864 478084 837728 956168 1416451 1912336 2832902 3824672 5665804 11331608 22663216 45326432 66573197 133146394 266292788 532585576 1065171152 2130342304