Search a number
-
+
243948540 = 2235111093391
BaseRepresentation
bin11101000101001…
…01101111111100
3122000000212111010
432202211233330
5444422323130
640112355220
76021346143
oct1642455774
9560025433
10243948540
11115780170
1269845b10
133b704164
142458275a
151663b0b0
hexe8a5bfc

243948540 has 96 divisors (see below), whose sum is σ = 752209920. Its totient is φ = 58579200.

The previous prime is 243948533. The next prime is 243948563. The reversal of 243948540 is 45849342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70245 + ... + 73635.

It is an arithmetic number, because the mean of its divisors is an integer number (7835520).

Almost surely, 2243948540 is an apocalyptic number.

243948540 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 243948540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376104960).

243948540 is an abundant number, since it is smaller than the sum of its proper divisors (508261380).

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

243948540 is a wasteful number, since it uses less digits than its factorization.

243948540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 243948540 is about 15618.8520704948. The cubic root of 243948540 is about 624.8360444602.

The spelling of 243948540 in words is "two hundred forty-three million, nine hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3391 3597 4796 5995 6540 6782 7194 10173 11990 13564 14388 16955 17985 20346 23980 33910 35970 37301 40692 50865 67820 71940 74602 101730 111903 149204 186505 203460 223806 369619 373010 447612 559515 739238 746020 1108857 1119030 1478476 1848095 2217714 2238060 3696190 4065809 4435428 5544285 7392380 8131618 11088570 12197427 16263236 20329045 22177140 24394854 40658090 48789708 60987135 81316180 121974270 243948540