Search a number
-
+
3243042240 = 263515721517
BaseRepresentation
bin1100000101001100…
…1110010111000000
322101000100121121120
43001103032113000
523120204322430
61253445352240
7143236255434
oct30123162700
98330317546
103243042240
1114146816a9
12766108680
133c8b5c009
1422a9d09c4
1513eaa1610
hexc14ce5c0

3243042240 has 112 divisors (see below), whose sum is σ = 10362724512. Its totient is φ = 859262976.

The previous prime is 3243042233. The next prime is 3243042263. The reversal of 3243042240 is 422403423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3243042240.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 139962 + ... + 161478.

It is an arithmetic number, because the mean of its divisors is an integer number (92524326).

Almost surely, 23243042240 is an apocalyptic number.

3243042240 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 3243042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181362256).

3243042240 is an abundant number, since it is smaller than the sum of its proper divisors (7119682272).

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

3243042240 is a wasteful number, since it uses less digits than its factorization.

3243042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21694 (or 21684 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3243042240 is about 56947.7149673277. The cubic root of 3243042240 is about 1480.1902360772.

Adding to 3243042240 its reverse (422403423), we get a palindrome (3665445663).

The spelling of 3243042240 in words is "three billion, two hundred forty-three million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 10048 12560 15072 18840 21517 25120 30144 37680 43034 50240 64551 75360 86068 107585 129102 150720 172136 215170 258204 322755 344272 430340 516408 645510 688544 860680 1032816 1291020 1377088 1721360 2065632 2582040 3378169 3442720 4131264 5164080 6756338 6885440 10134507 10328160 13512676 16890845 20269014 20656320 27025352 33781690 40538028 50672535 54050704 67563380 81076056 101345070 108101408 135126760 162152112 202690140 216202816 270253520 324304224 405380280 540507040 648608448 810760560 1081014080 1621521120 3243042240