Search a number
-
+
3243300000 = 2535519569
BaseRepresentation
bin1100000101010000…
…1101010010100000
322101000211201012020
43001110031102200
523120241100000
61253455101440
7143241411063
oct30124152240
98330751166
103243300000
111414838326
12766211880
133c8c1c435
1422aa5a8da
1513eb02ba0
hexc150d4a0

3243300000 has 288 divisors, whose sum is σ = 11221156800. Its totient is φ = 817920000.

The previous prime is 3243299993. The next prime is 3243300007. The reversal of 3243300000 is 33423.

It is an interprime number because it is at equal distance from previous prime (3243299993) and next prime (3243300007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3243300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5699716 + ... + 5700284.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 23243300000 is an apocalyptic number.

3243300000 is a gapful number since it is divisible by the number (30) 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 3243300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610578400).

3243300000 is an abundant number, since it is smaller than the sum of its proper divisors (7977856800).

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

3243300000 is an equidigital number, since it uses as much as digits as its factorization.

3243300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3243300000 is about 56949.9780509176. The cubic root of 3243300000 is about 1480.2294506685.

Adding to 3243300000 its reverse (33423), we get a palindrome (3243333423).

The spelling of 3243300000 in words is "three billion, two hundred forty-three million, three hundred thousand".