Search a number
-
+
3000430344 = 2333717319531
BaseRepresentation
bin1011001011010110…
…1110111100001000
321202002211122122210
42302311232330020
522121102232334
61213421345120
7134232144222
oct26265567410
97662748583
103000430344
1112aa7347aa
126b8a081a0
1338a805392
142066b9412
1512862b5e9
hexb2d6ef08

3000430344 has 64 divisors (see below), whose sum is σ = 7748735040. Its totient is φ = 967438080.

The previous prime is 3000430343. The next prime is 3000430357. The reversal of 3000430344 is 4430340003.

It is a self number, because there is not a number n which added to its sum of digits gives 3000430344.

It is not an unprimeable number, because it can be changed into a prime (3000430343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143859 + ... + 163389.

It is an arithmetic number, because the mean of its divisors is an integer number (121073985).

Almost surely, 23000430344 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 3000430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874367520).

3000430344 is an abundant number, since it is smaller than the sum of its proper divisors (4748304696).

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

3000430344 is a wasteful number, since it uses less digits than its factorization.

3000430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19750 (or 19746 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3000430344 is about 54776.1840949148. The cubic root of 3000430344 is about 1442.3185296156.

Adding to 3000430344 its reverse (4430340003), we get a palindrome (7430770347).

The spelling of 3000430344 in words is "three billion, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 173 222 296 346 444 519 692 888 1038 1384 2076 4152 6401 12802 19203 19531 25604 38406 39062 51208 58593 76812 78124 117186 153624 156248 234372 468744 722647 1445294 2167941 2890588 3378863 4335882 5781176 6757726 8671764 10136589 13515452 17343528 20273178 27030904 40546356 81092712 125017931 250035862 375053793 500071724 750107586 1000143448 1500215172 3000430344