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3282734336 = 2873159093
BaseRepresentation
bin1100001110101010…
…1000110100000000
322110210001011221012
43003222220310000
523210334444321
61301424220052
7144230532020
oct30352506400
98423034835
103282734336
111435021992
1277746a628
1340414866b
14231da3a80
151432e205b
hexc3aa8d00

3282734336 has 72 divisors (see below), whose sum is σ = 7730440704. Its totient is φ = 1361479680.

The previous prime is 3282734327. The next prime is 3282734347. The reversal of 3282734336 is 6334372823.

It is a junction number, because it is equal to n+sod(n) for n = 3282734293 and 3282734302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26006 + ... + 85098.

It is an arithmetic number, because the mean of its divisors is an integer number (107367232).

Almost surely, 23282734336 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 3282734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865220352).

3282734336 is an abundant number, since it is smaller than the sum of its proper divisors (4447706368).

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

3282734336 is an equidigital number, since it uses as much as digits as its factorization.

3282734336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59147 (or 59133 counting only the distinct ones).

The product of its digits is 435456, while the sum is 41.

The square root of 3282734336 is about 57295.1510688296. The cubic root of 3282734336 is about 1486.2045249473.

The spelling of 3282734336 in words is "three billion, two hundred eighty-two million, seven hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 55552 59093 118186 236372 413651 472744 827302 945488 1654604 1831883 1890976 3309208 3663766 3781952 6618416 7327532 7563904 12823181 13236832 14655064 15127808 25646362 26473664 29310128 51292724 52947328 58620256 102585448 105894656 117240512 205170896 234481024 410341792 468962048 820683584 1641367168 3282734336