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243420320 = 255111310639
BaseRepresentation
bin11101000001001…
…00110010100000
3121222001000220102
432200210302200
5444303422240
640053201532
76014016143
oct1640446240
9558030812
10243420320
1111544a320
12696302a8
133b57a8c0
142448605a
1516584815
hexe824ca0

243420320 has 96 divisors (see below), whose sum is σ = 675682560. Its totient is φ = 81699840.

The previous prime is 243420319. The next prime is 243420329. The reversal of 243420320 is 23024342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 243420292 and 243420301.

It is not an unprimeable number, because it can be changed into a prime (243420329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17561 + ... + 28199.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2243420320 is an apocalyptic number.

243420320 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 243420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

243420320 is an abundant number, since it is smaller than the sum of its proper divisors (432262240).

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

243420320 is a wasteful number, since it uses less digits than its factorization.

243420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 243420320 is about 15601.9332135476. The cubic root of 243420320 is about 624.3847342490.

Adding to 243420320 its reverse (23024342), we get a palindrome (266444662).

The spelling of 243420320 in words is "two hundred forty-three million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 10639 11440 21278 22880 42556 53195 85112 106390 117029 138307 170224 212780 234058 276614 340448 425560 468116 553228 585145 691535 851120 936232 1106456 1170290 1383070 1521377 1702240 1872464 2212912 2340580 2766140 3042754 3744928 4425824 4681160 5532280 6085508 7606885 9362320 11064560 12171016 15213770 18724640 22129120 24342032 30427540 48684064 60855080 121710160 243420320