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3240341776 = 24721921072
BaseRepresentation
bin1100000100100011…
…1011000100010000
322100211021102021101
43001020323010100
523114011414101
61253311434144
7143204310400
oct30110730420
98324242241
103240341776
1114130a7811
12765225954
133c8424ac9
1422a4ca800
1513e71b401
hexc123b110

3240341776 has 135 divisors (see below), whose sum is σ = 7780484439. Its totient is φ = 1303331904.

The previous prime is 3240341761. The next prime is 3240341779. The reversal of 3240341776 is 6771430423.

The square root of 3240341776 is 56924.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (3240341779) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 30283515 + ... + 30283621.

Almost surely, 23240341776 is an apocalyptic number.

3240341776 is the 56924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240341776

3240341776 is an abundant number, since it is smaller than the sum of its proper divisors (4540142663).

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

3240341776 is a wasteful number, since it uses less digits than its factorization.

3240341776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The cubic root of 3240341776 is about 1479.7792731453.

The spelling of 3240341776 in words is "three billion, two hundred forty million, three hundred forty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 107 112 133 152 196 214 266 304 361 392 428 532 722 749 784 856 931 1064 1444 1498 1712 1862 2033 2128 2527 2888 2996 3724 4066 5054 5243 5776 5992 7448 8132 10108 10486 11449 11984 14231 14896 16264 17689 20216 20972 22898 28462 32528 35378 38627 40432 41944 45796 56924 70756 77254 80143 83888 91592 99617 113848 141512 154508 160286 183184 199234 217531 227696 270389 283024 309016 320572 398468 435062 540778 561001 618032 641144 796936 870124 1081556 1122002 1282288 1522717 1593872 1740248 1892723 2163112 2244004 3045434 3480496 3785446 4133089 4326224 4488008 6090868 7570892 8266178 8976016 10659019 12181736 15141784 16532356 21318038 24363472 28931623 30283568 33064712 42636076 57863246 66129424 85272152 115726492 170544304 202521361 231452984 405042722 462905968 810085444 1620170888 3240341776