Search a number
-
+
243524040 = 233511317959
BaseRepresentation
bin11101000001111…
…10000111001000
3121222020022011220
432200332013020
5444320232130
640055322040
76014630424
oct1640760710
9558208156
10243524040
11115510241
1269680320
133b5b5b86
14244b1b84
15165a5410
hexe83e1c8

243524040 has 64 divisors (see below), whose sum is σ = 737078400. Its totient is φ = 64361472.

The previous prime is 243524027. The next prime is 243524041. The reversal of 243524040 is 40425342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243524040.

It is not an unprimeable number, because it can be changed into a prime (243524041) by changing a digit.

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, 4581 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (11516850).

Almost surely, 2243524040 is an apocalyptic number.

243524040 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 243524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368539200).

243524040 is an abundant number, since it is smaller than the sum of its proper divisors (493554360).

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

243524040 is a wasteful number, since it uses less digits than its factorization.

243524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086 (or 18082 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 243524040 is about 15605.2568066021. The cubic root of 243524040 is about 624.4734039058.

Adding to 243524040 its reverse (40425342), we get a palindrome (283949382).

The spelling of 243524040 in words is "two hundred forty-three million, five hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 17959 35918 53877 71836 89795 107754 143672 179590 215508 269385 359180 431016 538770 718360 1077540 2029367 2155080 4058734 6088101 8117468 10146835 12176202 16234936 20293670 24352404 30440505 40587340 48704808 60881010 81174680 121762020 243524040