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3360005136 = 243271328639
BaseRepresentation
bin1100100001000101…
…1001110000010000
322200011102221112200
43020101121300100
523340130131021
61313224323200
7146156400225
oct31021316020
98604387480
103360005136
1114746a9654
12799313500
13417161727
1423c35994c
15149ea7126
hexc8459c10

3360005136 has 60 divisors (see below), whose sum is σ = 9535818240. Its totient is φ = 1104223680.

The previous prime is 3360005123. The next prime is 3360005141. The reversal of 3360005136 is 6315000633.

3360005136 is a `hidden beast` number, since 3 + 3 + 600 + 0 + 51 + 3 + 6 = 666.

It is a super-2 number, since 2×33600051362 = 22579269027892756992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154096 + ... + 174543.

It is an arithmetic number, because the mean of its divisors is an integer number (158930304).

Almost surely, 23360005136 is an apocalyptic number.

3360005136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3360005136 is an abundant number, since it is smaller than the sum of its proper divisors (6175813104).

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

3360005136 is a wasteful number, since it uses less digits than its factorization.

3360005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328724 (or 328715 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3360005136 is about 57965.5512869497. The cubic root of 3360005136 is about 1497.7752405951.

Adding to 3360005136 its reverse (6315000633), we get a palindrome (9675005769).

The spelling of 3360005136 in words is "three billion, three hundred sixty million, five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 328639 657278 985917 1314556 1971834 2629112 2957751 3943668 5258224 5915502 7887336 11831004 15774672 23333369 23662008 46666738 47324016 70000107 93333476 140000214 186666952 210000321 280000428 373333904 420000642 560000856 840001284 1120001712 1680002568 3360005136