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3320471808 = 28328916193
BaseRepresentation
bin1100010111101010…
…0110000100000000
322120102001110000100
43011322212010000
523300020044213
61305253122400
7145166354553
oct30572460400
98512043010
103320471808
111454357685
12788029400
1340bbcc424
14236dc869a
15146798773
hexc5ea6100

3320471808 has 108 divisors (see below), whose sum is σ = 9681906780. Its totient is φ = 1094320128.

The previous prime is 3320471789. The next prime is 3320471821. The reversal of 3320471808 is 8081740233.

It can be written as a sum of positive squares in 2 ways, for example, as 2194735104 + 1125736704 = 46848^2 + 33552^2 .

It is a super-2 number, since 2×33204718082 = 22051066055445577728, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196960 + ... + 213152.

It is an arithmetic number, because the mean of its divisors is an integer number (89647285).

Almost surely, 23320471808 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 3320471808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840953390).

3320471808 is an abundant number, since it is smaller than the sum of its proper divisors (6361434972).

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

3320471808 is a wasteful number, since it uses less digits than its factorization.

3320471808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16304 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3320471808 is about 57623.5351917947. The cubic root of 3320471808 is about 1491.8778491568.

The spelling of 3320471808 in words is "three billion, three hundred twenty million, four hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 534 576 712 768 801 1068 1152 1424 1602 2136 2304 2848 3204 4272 5696 6408 8544 11392 12816 16193 17088 22784 25632 32386 34176 48579 51264 64772 68352 97158 102528 129544 145737 194316 205056 259088 291474 388632 518176 582948 777264 1036352 1165896 1441177 1554528 2072704 2331792 2882354 3109056 4145408 4323531 4663584 5764708 6218112 8647062 9327168 11529416 12436224 12970593 17294124 18654336 23058832 25941186 34588248 37308672 46117664 51882372 69176496 92235328 103764744 138352992 184470656 207529488 276705984 368941312 415058976 553411968 830117952 1106823936 1660235904 3320471808