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3243113320 = 2354313713763
BaseRepresentation
bin1100000101001101…
…1111101101101000
322101000111020010011
43001103133231220
523120214111240
61253451101304
7143240002606
oct30123375550
98330436104
103243113320
111414720047
12766141834
133c8b85485
1422aa0c876
1513eab76ea
hexc14dfb68

3243113320 has 64 divisors (see below), whose sum is σ = 7521750720. Its totient is φ = 1257736704.

The previous prime is 3243113231. The next prime is 3243113327. The reversal of 3243113320 is 233113423.

It is a super-2 number, since 2×32431133202 = 21035568012722844800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3243113291 and 3243113300.

It is not an unprimeable number, because it can be changed into a prime (3243113327) 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, 228759 + ... + 242521.

It is an arithmetic number, because the mean of its divisors is an integer number (117527355).

Almost surely, 23243113320 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 3243113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760875360).

3243113320 is an abundant number, since it is smaller than the sum of its proper divisors (4278637400).

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

3243113320 is a wasteful number, since it uses less digits than its factorization.

3243113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13954 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3243113320 is about 56948.3390451381. The cubic root of 3243113320 is about 1480.2010501160.

Adding to 3243113320 its reverse (233113423), we get a palindrome (3476226743).

The spelling of 3243113320 in words is "three billion, two hundred forty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 137 172 215 274 344 430 548 685 860 1096 1370 1720 2740 5480 5891 11782 13763 23564 27526 29455 47128 55052 58910 68815 110104 117820 137630 235640 275260 550520 591809 1183618 1885531 2367236 2959045 3771062 4734472 5918090 7542124 9427655 11836180 15084248 18855310 23672360 37710620 75421240 81077833 162155666 324311332 405389165 648622664 810778330 1621556660 3243113320