Search a number
-
+
243363780 = 2232511196469
BaseRepresentation
bin11101000000101…
…10111111000100
3121221221011100100
432200112333010
5444300120110
640052044100
76013362252
oct1640267704
9557834310
10243363780
111154108a0
1269603630
133b55ac4a
142446d5d2
1516572bc0
hexe816fc4

243363780 has 144 divisors (see below), whose sum is σ = 847828800. Its totient is φ = 55883520.

The previous prime is 243363773. The next prime is 243363781. The reversal of 243363780 is 87363342.

243363780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (243363781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34386 + ... + 40854.

It is an arithmetic number, because the mean of its divisors is an integer number (5887700).

Almost surely, 2243363780 is an apocalyptic number.

243363780 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 243363780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423914400).

243363780 is an abundant number, since it is smaller than the sum of its proper divisors (604465020).

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

243363780 is a wasteful number, since it uses less digits than its factorization.

243363780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 243363780 is about 15600.1211533757. The cubic root of 243363780 is about 624.3363879064.

The spelling of 243363780 in words is "two hundred forty-three million, three hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 6469 7524 9405 12540 12938 18810 19407 25876 32345 37620 38814 58221 64690 71159 77628 97035 116442 122911 129380 142318 194070 213477 232884 245822 284636 291105 355795 368733 388140 426954 491644 582210 614555 640431 711590 737466 853908 1067385 1106199 1164420 1229110 1280862 1352021 1423180 1474932 1843665 2134770 2212398 2458220 2561724 2704042 3202155 3687330 4056063 4269540 4424796 5408084 5530995 6404310 6760105 7374660 8112126 11061990 12168189 12808620 13520210 16224252 20280315 22123980 24336378 27040420 40560630 48672756 60840945 81121260 121681890 243363780