Search a number
-
+
2325431340 = 2232519765579
BaseRepresentation
bin1000101010011011…
…0100010000101100
320000001201011002200
42022212310100230
514230302300330
61022430021500
7111424561131
oct21246642054
96001634080
102325431340
11a93710a91
1254a947890
132b0a0a79b
14180bac588
15d9246a60
hex8a9b442c

2325431340 has 72 divisors (see below), whose sum is σ = 7089722640. Its totient is φ = 616957824.

The previous prime is 2325431333. The next prime is 2325431351. The reversal of 2325431340 is 431345232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2671 + ... + 68249.

It is an arithmetic number, because the mean of its divisors is an integer number (98468370).

Almost surely, 22325431340 is an apocalyptic number.

2325431340 is a gapful number since it is divisible by the number (20) 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 2325431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544861320).

2325431340 is an abundant number, since it is smaller than the sum of its proper divisors (4764291300).

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

2325431340 is a wasteful number, since it uses less digits than its factorization.

2325431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65791 (or 65786 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2325431340 is about 48222.7263849733. The cubic root of 2325431340 is about 1324.8534481320.

Adding to 2325431340 its reverse (431345232), we get a palindrome (2756776572).

The spelling of 2325431340 in words is "two billion, three hundred twenty-five million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 65579 131158 196737 262316 327895 393474 590211 655790 786948 983685 1180422 1311580 1967370 2360844 2951055 3934740 5902110 11804220 12919063 25838126 38757189 51676252 64595315 77514378 116271567 129190630 155028756 193785945 232543134 258381260 387571890 465086268 581357835 775143780 1162715670 2325431340