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3339075168 = 2532111381077
BaseRepresentation
bin1100011100000110…
…0011111001100000
322121201001121000200
43013001203321200
523314300401133
61311155545200
7145513446012
oct30701437140
98551047020
103339075168
111463903660
127922bb200
13412a13c30
1423966c1b2
15148220913
hexc7063e60

3339075168 has 144 divisors (see below), whose sum is σ = 11155684176. Its totient is φ = 933995520.

The previous prime is 3339075151. The next prime is 3339075169. The reversal of 3339075168 is 8615709333.

3339075168 is a `hidden beast` number, since 33 + 390 + 75 + 168 = 666.

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

It is a super-2 number, since 2×33390751682 = 22298845955108456448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339075169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646 + ... + 81722.

It is an arithmetic number, because the mean of its divisors is an integer number (77470029).

Almost surely, 23339075168 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 3339075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577842088).

3339075168 is an abundant number, since it is smaller than the sum of its proper divisors (7816609008).

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

3339075168 is a wasteful number, since it uses less digits than its factorization.

3339075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81117 (or 81106 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3339075168 is about 57784.7312704662. The cubic root of 3339075168 is about 1494.6588063410.

The spelling of 3339075168 in words is "three billion, three hundred thirty-nine million, seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 81077 162154 243231 324308 486462 648616 729693 891847 972924 1054001 1297232 1459386 1783694 1945848 2108002 2594464 2675541 2918772 3162003 3567388 3891696 4216004 5351082 5837544 6324006 7134776 7783392 8026623 8432008 9486009 10702164 11594011 11675088 12648012 14269552 16053246 16864016 18972018 21404328 23188022 23350176 25296024 28539104 32106492 33728032 34782033 37944036 42808656 46376044 50592048 64212984 69564066 75888072 85617312 92752088 101184096 104346099 128425968 139128132 151776144 185504176 208692198 256851936 278256264 303552288 371008352 417384396 556512528 834768792 1113025056 1669537584 3339075168