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243205340 = 22575373449
BaseRepresentation
bin11100111111100…
…00010011011100
3121221122010000012
432133300103130
5444230032330
640044422352
76012132320
oct1637602334
9557563005
10243205340
11115312854
12695479b8
133b503ab1
142442b980
1516540c95
hexe7f04dc

243205340 has 96 divisors (see below), whose sum is σ = 604195200. Its totient is φ = 80510976.

The previous prime is 243205337. The next prime is 243205343. The reversal of 243205340 is 43502342.

243205340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243205337) and next prime (243205343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243205343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541436 + ... + 541884.

It is an arithmetic number, because the mean of its divisors is an integer number (6293700).

Almost surely, 2243205340 is an apocalyptic number.

243205340 is a gapful number since it is divisible by the number (20) 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 243205340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302097600).

243205340 is an abundant number, since it is smaller than the sum of its proper divisors (360989860).

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

243205340 is a wasteful number, since it uses less digits than its factorization.

243205340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 243205340 is about 15595.0421608920. The cubic root of 243205340 is about 624.2008687917.

Adding to 243205340 its reverse (43502342), we get a palindrome (286707682).

The spelling of 243205340 in words is "two hundred forty-three million, two hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 73 106 140 146 212 265 292 365 371 449 511 530 730 742 898 1022 1060 1460 1484 1796 1855 2044 2245 2555 3143 3710 3869 4490 5110 6286 7420 7738 8980 10220 12572 15476 15715 19345 23797 27083 31430 32777 38690 47594 54166 62860 65554 77380 95188 108332 118985 131108 135415 163885 166579 229439 237970 270830 327770 333158 458878 475940 541660 655540 666316 832895 917756 1147195 1665790 1737181 2294390 3331580 3474362 4588780 6948724 8685905 12160267 17371810 24320534 34743620 48641068 60801335 121602670 243205340