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3352226688 = 27336191567
BaseRepresentation
bin1100011111001110…
…1110101110000000
322122121210202112000
43013303232232000
523331132223223
61312345504000
7146033312436
oct30763565600
98577722460
103352226688
111470276588
127967a2000
1341566a0b5
1423b2d2d56
1514946c543
hexc7ceeb80

3352226688 has 128 divisors (see below), whose sum is σ = 9916032000. Its totient is φ = 1114891776.

The previous prime is 3352226681. The next prime is 3352226693. The reversal of 3352226688 is 8866222533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33522266882 = 22474847535478898688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352226681) 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 15 ways as a sum of consecutive naturals, for example, 2138481 + ... + 2140047.

It is an arithmetic number, because the mean of its divisors is an integer number (77469000).

Almost surely, 23352226688 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 3352226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958016000).

3352226688 is an abundant number, since it is smaller than the sum of its proper divisors (6563805312).

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

3352226688 is a wasteful number, since it uses less digits than its factorization.

3352226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2191 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3352226688 is about 57898.4169731781. The cubic root of 3352226688 is about 1496.6185589657.

The spelling of 3352226688 in words is "three billion, three hundred fifty-two million, two hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 619 864 1152 1238 1567 1728 1857 2476 3134 3456 3714 4701 4952 5571 6268 7428 9402 9904 11142 12536 14103 14856 16713 18804 19808 22284 25072 28206 29712 33426 37608 39616 42309 44568 50144 56412 59424 66852 75216 79232 84618 89136 100288 112824 118848 133704 150432 169236 178272 200576 225648 237696 267408 300864 338472 356544 451296 534816 601728 676944 713088 902592 969973 1069632 1353888 1805184 1939946 2139264 2707776 2909919 3879892 5415552 5819838 7759784 8729757 11639676 15519568 17459514 23279352 26189271 31039136 34919028 46558704 52378542 62078272 69838056 93117408 104757084 124156544 139676112 186234816 209514168 279352224 372469632 419028336 558704448 838056672 1117408896 1676113344 3352226688