Search a number
-
+
4324440320 = 28512892621
BaseRepresentation
bin1000000011100000…
…11011100100000000
3102011101012022220022
410001300123210000
532324024042240
61553035433012
7212110064504
oct40160334400
912141168808
104324440320
11191a041022
12a082b5768
1353bbc8a35
142d048a304
151a49b09b5
hex101c1b900

4324440320 has 72 divisors (see below), whose sum is σ = 10370377080. Its totient is φ = 1727774720.

The previous prime is 4324440319. The next prime is 4324440347. The reversal of 4324440320 is 230444234.

It can be written as a sum of positive squares in 4 ways, for example, as 1650309376 + 2674130944 = 40624^2 + 51712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4324440320.

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, 1648610 + ... + 1651230.

It is an arithmetic number, because the mean of its divisors is an integer number (144033015).

Almost surely, 24324440320 is an apocalyptic number.

4324440320 is a gapful number since it is divisible by the number (40) 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 4324440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185188540).

4324440320 is an abundant number, since it is smaller than the sum of its proper divisors (6045936760).

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

4324440320 is a wasteful number, since it uses less digits than its factorization.

4324440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 4324440320 is about 65760.4768839156. The cubic root of 4324440320 is about 1629.2083827191.

Adding to 4324440320 its reverse (230444234), we get a palindrome (4554884554).

The spelling of 4324440320 in words is "four billion, three hundred twenty-four million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1289 2578 2621 5156 5242 6445 10312 10484 12890 13105 20624 20968 25780 26210 41248 41936 51560 52420 82496 83872 103120 104840 164992 167744 206240 209680 329984 335488 412480 419360 670976 824960 838720 1649920 1677440 3354880 3378469 6756938 13513876 16892345 27027752 33784690 54055504 67569380 108111008 135138760 216222016 270277520 432444032 540555040 864888064 1081110080 2162220160 4324440320