Search a number
-
+
240324630 = 235713471873
BaseRepresentation
bin11100101001100…
…01000000010110
3121202012202102020
432110301000112
5443010342010
635502554010
75645503620
oct1624610026
9552182366
10240324630
111137254a7
1268598906
133aa35830
1423cbbc10
1516172470
hexe531016

240324630 has 128 divisors (see below), whose sum is σ = 725372928. Its totient is φ = 49600512.

The previous prime is 240324619. The next prime is 240324649. The reversal of 240324630 is 36423042.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 240324630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127374 + ... + 129246.

It is an arithmetic number, because the mean of its divisors is an integer number (5666976).

Almost surely, 2240324630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240324630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362686464).

240324630 is an abundant number, since it is smaller than the sum of its proper divisors (485048298).

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

240324630 is a wasteful number, since it uses less digits than its factorization.

240324630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 240324630 is about 15502.4072324268. The cubic root of 240324630 is about 621.7265696441.

Adding to 240324630 its reverse (36423042), we get a palindrome (276747672).

The spelling of 240324630 in words is "two hundred forty million, three hundred twenty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 47 65 70 78 91 94 105 130 141 182 195 210 235 273 282 329 390 455 470 546 611 658 705 910 987 1222 1365 1410 1645 1833 1873 1974 2730 3055 3290 3666 3746 4277 4935 5619 6110 8554 9165 9365 9870 11238 12831 13111 18330 18730 21385 24349 25662 26222 28095 39333 42770 48698 56190 64155 65555 73047 78666 88031 121745 128310 131110 146094 170443 176062 196665 243490 264093 340886 365235 393330 440155 511329 528186 616217 730470 852215 880310 1022658 1144403 1232434 1320465 1704430 1848651 2288806 2556645 2640930 3081085 3433209 3697302 5113290 5722015 6162170 6866418 8010821 9243255 11444030 16021642 17166045 18486510 24032463 34332090 40054105 48064926 80108210 120162315 240324630