Search a number
-
+
243430320 = 24357144899
BaseRepresentation
bin11101000001001…
…11001110110000
3121222001112121210
432200213032300
5444304232240
640053320120
76014060250
oct1640471660
9558045553
10243430320
11115456891
1269636040
133b582313
1424489960
1516587780
hexe8273b0

243430320 has 80 divisors (see below), whose sum is σ = 862444800. Its totient is φ = 55640832.

The previous prime is 243430307. The next prime is 243430333. The reversal of 243430320 is 23034342.

It is an interprime number because it is at equal distance from previous prime (243430307) and next prime (243430333).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 70770 + ... + 74129.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2243430320 is an apocalyptic number.

243430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243430320 is an abundant number, since it is smaller than the sum of its proper divisors (619014480).

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

243430320 is a wasteful number, since it uses less digits than its factorization.

243430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144922 (or 144916 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 243430320 is about 15602.2536833625. The cubic root of 243430320 is about 624.3932842909.

Adding to 243430320 its reverse (23034342), we get a palindrome (266464662).

The spelling of 243430320 in words is "two hundred forty-three million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 144899 289798 434697 579596 724495 869394 1014293 1159192 1448990 1738788 2028586 2173485 2318384 2897980 3042879 3477576 4057172 4346970 5071465 5795960 6085758 6955152 8114344 8693940 10142930 11591920 12171516 15214395 16228688 17387880 20285860 24343032 30428790 34775760 40571720 48686064 60857580 81143440 121715160 243430320