Search a number
-
+
3338160672 = 253721164513
BaseRepresentation
bin1100011011111000…
…0100101000100000
322121122100010120110
43012332010220200
523314032120142
61311124211320
7145502616600
oct30676045040
98548303513
103338160672
111463339580
12791b39b40
13412783902
142394b0c00
151480de99c
hexc6f84a20

3338160672 has 144 divisors (see below), whose sum is σ = 11120149152. Its totient is φ = 867041280.

The previous prime is 3338160667. The next prime is 3338160677. The reversal of 3338160672 is 2760618333.

It is an interprime number because it is at equal distance from previous prime (3338160667) and next prime (3338160677).

It is a super-2 number, since 2×33381606722 = 22286633344174983168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3338160672.

It is not an unprimeable number, because it can be changed into a prime (3338160677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19488 + ... + 84000.

It is an arithmetic number, because the mean of its divisors is an integer number (77223258).

Almost surely, 23338160672 is an apocalyptic number.

3338160672 is a gapful number since it is divisible by the number (32) 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 3338160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560074576).

3338160672 is an abundant number, since it is smaller than the sum of its proper divisors (7781988480).

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

3338160672 is a wasteful number, since it uses less digits than its factorization.

3338160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64551 (or 64536 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3338160672 is about 57776.8177732211. The cubic root of 3338160672 is about 1494.5223429758.

The spelling of 3338160672 in words is "three billion, three hundred thirty-eight million, one hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 64513 129026 193539 258052 387078 451591 516104 709643 774156 903182 1032208 1354773 1419286 1548312 1806364 2064416 2128929 2709546 2838572 3096624 3161137 3612728 4257858 4967501 5419092 5677144 6193248 6322274 7225456 8515716 9483411 9935002 10838184 11354288 12644548 14450912 14902503 17031432 18966822 19870004 21676368 22708576 25289096 29805006 34062864 34772507 37933644 39740008 43352736 50578192 59610012 68125728 69545014 75867288 79480016 101156384 104317521 119220024 139090028 151734576 158960032 208635042 238440048 278180056 303469152 417270084 476880096 556360112 834540168 1112720224 1669080336 3338160672