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3300667056 = 2436614639
BaseRepresentation
bin1100010010111100…
…0010111010110000
322112000210021000000
43010233002322300
523224432321211
61303304430000
7144536131011
oct30457027260
98460707000
103300667056
111444160015
12781478300
13407a86b3b
14234511008
15144b85656
hexc4bc2eb0

3300667056 has 140 divisors (see below), whose sum is σ = 9747461440. Its totient is φ = 1081952640.

The previous prime is 3300667043. The next prime is 3300667063. The reversal of 3300667056 is 6507660033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3300667056.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 709185 + ... + 713823.

Almost surely, 23300667056 is an apocalyptic number.

3300667056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300667056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873730720).

3300667056 is an abundant number, since it is smaller than the sum of its proper divisors (6446794384).

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

3300667056 is an equidigital number, since it uses as much as digits as its factorization.

3300667056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3300667056 is about 57451.4321492511. The cubic root of 3300667056 is about 1488.9058610113.

The spelling of 3300667056 in words is "three billion, three hundred million, six hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 729 732 972 976 1098 1296 1458 1464 1647 1944 2196 2916 2928 3294 3888 4392 4639 4941 5832 6588 8784 9278 9882 11664 13176 13917 14823 18556 19764 26352 27834 29646 37112 39528 41751 44469 55668 59292 74224 79056 83502 88938 111336 118584 125253 167004 177876 222672 237168 250506 282979 334008 355752 375759 501012 565958 668016 711504 751518 848937 1002024 1127277 1131916 1503036 1697874 2004048 2254554 2263832 2546811 3006072 3381831 3395748 4509108 4527664 5093622 6012144 6763662 6791496 7640433 9018216 10187244 13527324 13582992 15280866 18036432 20374488 22921299 27054648 30561732 40748976 45842598 54109296 61123464 68763897 91685196 122246928 137527794 183370392 206291691 275055588 366740784 412583382 550111176 825166764 1100222352 1650333528 3300667056