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3684327936 = 29311321227
BaseRepresentation
bin1101101110011010…
…0110001000000000
3100111202201020210020
43123212212020000
530021141443221
61405331533440
7160205161602
oct33346461000
910452636706
103684327936
111620786123
12869a5a280
134693c7403
1426d461172
151686bcac6
hexdb9a6200

3684327936 has 80 divisors (see below), whose sum is σ = 9902607264. Its totient is φ = 1217183744.

The previous prime is 3684327883. The next prime is 3684327961. The reversal of 3684327936 is 6397234863.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 162955 + ... + 184181.

Almost surely, 23684327936 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 3684327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951303632).

3684327936 is an abundant number, since it is smaller than the sum of its proper divisors (6218279328).

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

3684327936 is a wasteful number, since it uses less digits than its factorization.

3684327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21361 (or 21345 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 51.

The square root of 3684327936 is about 60698.6650265061. The cubic root of 3684327936 is about 1544.4935288615.

The spelling of 3684327936 in words is "three billion, six hundred eighty-four million, three hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1356 1536 1808 2712 3616 5424 7232 10848 14464 21227 21696 28928 42454 43392 57856 63681 84908 86784 127362 169816 173568 254724 339632 509448 679264 1018896 1358528 2037792 2398651 2717056 4075584 4797302 5434112 7195953 8151168 9594604 10868224 14391906 16302336 19189208 28783812 32604672 38378416 57567624 76756832 115135248 153513664 230270496 307027328 460540992 614054656 921081984 1228109312 1842163968 3684327936