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240536340 = 2232511412963
BaseRepresentation
bin11100101011001…
…00101100010100
3121202121111211100
432111210230110
5443034130330
635511310100
75650345062
oct1625445424
9552544740
10240536340
1111385a570
126867b330
133aaaacc5
1423d35032
15161b5060
hexe564b14

240536340 has 144 divisors (see below), whose sum is σ = 815645376. Its totient is φ = 56870400.

The previous prime is 240536339. The next prime is 240536357. The reversal of 240536340 is 43635042.

240536340 is a `hidden beast` number, since 24 + 0 + 5 + 3 + 634 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 79699 + ... + 82661.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2240536340 is an apocalyptic number.

240536340 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 240536340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688).

240536340 is an abundant number, since it is smaller than the sum of its proper divisors (575109036).

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

240536340 is a wasteful number, since it uses less digits than its factorization.

240536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 240536340 is about 15509.2340236389. The cubic root of 240536340 is about 621.9090826333.

The spelling of 240536340 in words is "two hundred forty million, five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 2963 3690 4059 4510 5412 5926 6765 7380 8118 8889 9020 11852 13530 14815 16236 17778 20295 26667 27060 29630 32593 35556 40590 44445 53334 59260 65186 81180 88890 97779 106668 121483 130372 133335 162965 177780 195558 242966 266670 293337 325930 364449 391116 485932 488895 533340 586674 607415 651860 728898 977790 1093347 1173348 1214830 1336313 1457796 1466685 1822245 1955580 2186694 2429660 2672626 2933370 3644490 4008939 4373388 5345252 5466735 5866740 6681565 7288980 8017878 10933470 12026817 13363130 16035756 20044695 21866940 24053634 26726260 40089390 48107268 60134085 80178780 120268170 240536340