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3301912224 = 2532136713163
BaseRepresentation
bin1100010011001111…
…0010111010100000
322112010010112001100
43010303302322200
523230242142344
61303351234400
7144552535152
oct30463627240
98463115040
103301912224
111444930586
12781978a00
13408101820
14234756ad2
15144d2e569
hexc4cf2ea0

3301912224 has 144 divisors (see below), whose sum is σ = 10263812832. Its totient is φ = 1000733184.

The previous prime is 3301912217. The next prime is 3301912253. The reversal of 3301912224 is 4222191033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244267 + ... + 257429.

It is an arithmetic number, because the mean of its divisors is an integer number (71276478).

Almost surely, 23301912224 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 3301912224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131906416).

3301912224 is an abundant number, since it is smaller than the sum of its proper divisors (6961900608).

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

3301912224 is a wasteful number, since it uses less digits than its factorization.

3301912224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3301912224 is about 57462.2678285499. The cubic root of 3301912224 is about 1489.0930660842.

The spelling of 3301912224 in words is "three billion, three hundred one million, nine hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 234 268 288 312 402 416 468 536 603 624 804 871 936 1072 1206 1248 1608 1742 1872 2144 2412 2613 3216 3484 3744 4824 5226 6432 6968 7839 9648 10452 13163 13936 15678 19296 20904 26326 27872 31356 39489 41808 52652 62712 78978 83616 105304 118467 125424 157956 171119 210608 236934 250848 315912 342238 421216 473868 513357 631824 684476 881921 947736 1026714 1263648 1368952 1540071 1763842 1895472 2053428 2645763 2737904 3080142 3527684 3790944 4106856 5291526 5475808 6160284 7055368 7937289 8213712 10583052 11464973 12320568 14110736 15874578 16427424 21166104 22929946 24641136 28221472 31749156 34394919 42332208 45859892 49282272 63498312 68789838 84664416 91719784 103184757 126996624 137579676 183439568 206369514 253993248 275159352 366879136 412739028 550318704 825478056 1100637408 1650956112 3301912224