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243943140 = 223571035639
BaseRepresentation
bin11101000101001…
…00011011100100
3122000000121002010
432202210123210
5444422140030
640112314220
76021324330
oct1642443344
9560017063
10243943140
11115777101
1269842970
133b70186c
14245807c0
15166396b0
hexe8a46e4

243943140 has 96 divisors (see below), whose sum is σ = 788336640. Its totient is φ = 55207296.

The previous prime is 243943127. The next prime is 243943177. The reversal of 243943140 is 41349342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243943098 and 243943107.

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 31 ways as a sum of consecutive naturals, for example, 40441 + ... + 46079.

It is an arithmetic number, because the mean of its divisors is an integer number (8211840).

Almost surely, 2243943140 is an apocalyptic number.

243943140 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 243943140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394168320).

243943140 is an abundant number, since it is smaller than the sum of its proper divisors (544393500).

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

243943140 is a wasteful number, since it uses less digits than its factorization.

243943140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 243943140 is about 15618.6792015202. The cubic root of 243943140 is about 624.8314340076.

The spelling of 243943140 in words is "two hundred forty-three million, nine hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2884 3090 3605 4326 5639 6180 7210 8652 10815 11278 14420 16917 21630 22556 28195 33834 39473 43260 56390 67668 78946 84585 112780 118419 157892 169170 197365 236838 338340 394730 473676 580817 592095 789460 1161634 1184190 1742451 2323268 2368380 2904085 3484902 4065719 5808170 6969804 8131438 8712255 11616340 12197157 16262876 17424510 20328595 24394314 34849020 40657190 48788628 60985785 81314380 121971570 243943140