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3321070060 = 225731124001
BaseRepresentation
bin1100010111110011…
…1000000111101100
322120110011211122211
43011330320013230
523300143220220
61305314020204
7145204426000
oct30574700754
98513154584
103321070060
111454726100
12788277664
1340c07b819
14237102700
15146865b5a
hexc5f381ec

3321070060 has 144 divisors (see below), whose sum is σ = 8942068800. Its totient is φ = 1034880000.

The previous prime is 3321069989. The next prime is 3321070061. The reversal of 3321070060 is 600701233.

It is a super-2 number, since 2×33210700602 = 22059012686856807200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3321070061) 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 47 ways as a sum of consecutive naturals, for example, 828060 + ... + 832060.

It is an arithmetic number, because the mean of its divisors is an integer number (62097700).

Almost surely, 23321070060 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 3321070060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471034400).

3321070060 is an abundant number, since it is smaller than the sum of its proper divisors (5620998740).

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

3321070060 is a wasteful number, since it uses less digits than its factorization.

3321070060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 3321070060 is about 57628.7259966763. The cubic root of 3321070060 is about 1491.9674413756.

Adding to 3321070060 its reverse (600701233), we get a palindrome (3921771293).

The spelling of 3321070060 in words is "three billion, three hundred twenty-one million, seventy thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 121 140 154 196 220 242 245 308 343 385 484 490 539 605 686 770 847 980 1078 1210 1372 1540 1694 1715 2156 2420 2695 3388 3430 3773 4001 4235 5390 5929 6860 7546 8002 8470 10780 11858 15092 16004 16940 18865 20005 23716 28007 29645 37730 40010 41503 44011 56014 59290 75460 80020 83006 88022 112028 118580 140035 166012 176044 196049 207515 220055 280070 308077 392098 415030 440110 484121 560140 616154 784196 830060 880220 968242 980245 1232308 1372343 1540385 1936484 1960490 2156539 2420605 2744686 3080770 3388847 3920980 4313078 4841210 5489372 6161540 6777694 6861715 8626156 9682420 10782695 13555388 13723430 15095773 16944235 21565390 23721929 27446860 30191546 33888470 43130780 47443858 60383092 67776940 75478865 94887716 118609645 150957730 166053503 237219290 301915460 332107006 474438580 664214012 830267515 1660535030 3321070060