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243347820 = 223519239281
BaseRepresentation
bin11101000000100…
…11000101101100
3121221220100110020
432200103011230
5444244112240
640051442140
76013264602
oct1640230554
9557810406
10243347820
111153aa901
12695b6350
133b5538c1
1424467872
151656d0d0
hexe81316c

243347820 has 96 divisors (see below), whose sum is σ = 748500480. Its totient is φ = 58798080.

The previous prime is 243347813. The next prime is 243347831. The reversal of 243347820 is 28743342.

243347820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2433478202 = 118436322997504800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21580 + ... + 30860.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2243347820 is an apocalyptic number.

243347820 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 243347820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

243347820 is an abundant number, since it is smaller than the sum of its proper divisors (505152660).

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

243347820 is a wasteful number, since it uses less digits than its factorization.

243347820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9335 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 243347820 is about 15599.6096104999. The cubic root of 243347820 is about 624.3227394408.

The spelling of 243347820 in words is "two hundred forty-three million, three hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 9281 13110 18562 26220 27843 37124 46405 55686 92810 111372 139215 176339 185620 213463 278430 352678 426926 529017 556860 640389 705356 853852 881695 1058034 1067315 1280778 1763390 2116068 2134630 2561556 2645085 3201945 3526780 4055797 4269260 5290170 6403890 8111594 10580340 12167391 12807780 16223188 20278985 24334782 40557970 48669564 60836955 81115940 121673910 243347820