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3321483880 = 235113134799
BaseRepresentation
bin1100010111111001…
…1101001001101000
322120110221212022111
43011332131021220
523300244441010
61305330532104
7145211101321
oct30576351150
98513855274
103321483880
111454989000
12788437034
1340c194ca0
142371ad448
151468e858a
hexc5f9d268

3321483880 has 128 divisors (see below), whose sum is σ = 8854272000. Its totient is φ = 1114671360.

The previous prime is 3321483877. The next prime is 3321483881. The reversal of 3321483880 is 883841233.

It is a super-2 number, since 2×33214838802 = 22064510330199708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3321483881) by changing a digit.

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, 689721 + ... + 694519.

It is an arithmetic number, because the mean of its divisors is an integer number (69174000).

Almost surely, 23321483880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321483880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427136000).

3321483880 is an abundant number, since it is smaller than the sum of its proper divisors (5532788120).

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

3321483880 is a wasteful number, since it uses less digits than its factorization.

3321483880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 3321483880 is about 57632.3162817529. The cubic root of 3321483880 is about 1492.0294073799.

The spelling of 3321483880 in words is "three billion, three hundred twenty-one million, four hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1331 1430 1573 2420 2662 2860 3146 4799 4840 5324 5720 6292 6655 7865 9598 10648 12584 13310 15730 17303 19196 23995 26620 31460 34606 38392 47990 52789 53240 62387 62920 69212 86515 95980 105578 124774 138424 173030 191960 211156 249548 263945 311935 346060 422312 499096 527890 580679 623870 686257 692120 1055780 1161358 1247740 1372514 2111560 2322716 2495480 2745028 2903395 3431285 4645432 5490056 5806790 6387469 6862570 7548827 11613580 12774938 13725140 15097654 23227160 25549876 27450280 30195308 31937345 37744135 51099752 60390616 63874690 75488270 83037097 127749380 150976540 166074194 255498760 301953080 332148388 415185485 664296776 830370970 1660741940 3321483880