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3317539968 = 273216972
BaseRepresentation
bin1100010110111101…
…1010010010000000
322120012112111021200
43011233122102000
523243242234333
61305110221200
7145132424121
oct30557322200
98505474250
103317539968
111452734976
12787054800
1340b413b02
14236864048
151463b9c13
hexc5bda480

3317539968 has 72 divisors (see below), whose sum is σ = 9552195705. Its totient is φ = 1105195008.

The previous prime is 3317539949. The next prime is 3317540027. The reversal of 3317539968 is 8699357133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3317539968 is a `hidden beast` number, since 3 + 3 + 17 + 539 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2287900224 + 1029639744 = 47832^2 + 32088^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40728.

It is a super-2 number, since 2×33175399682 = 22012142878554882048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1954096 + ... + 1955792.

Almost surely, 23317539968 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 3317539968

3317539968 is an abundant number, since it is smaller than the sum of its proper divisors (6234655737).

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

3317539968 is an frugal number, since it uses more digits than its factorization.

3317539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 1702 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 3317539968 is about 57598.0899683314. The cubic root of 3317539968 is about 1491.4386309396.

The spelling of 3317539968 in words is "three billion, three hundred seventeen million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1697 3394 5091 6788 10182 13576 15273 20364 27152 30546 40728 54304 61092 81456 108608 122184 162912 217216 244368 325824 488736 651648 977472 1954944 2879809 5759618 8639427 11519236 17278854 23038472 25918281 34557708 46076944 51836562 69115416 92153888 103673124 138230832 184307776 207346248 276461664 368615552 414692496 552923328 829384992 1105846656 1658769984 3317539968