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339628005 = 33523891229
BaseRepresentation
bin10100001111100…
…100111111100101
3212200001220001000
4110033210333211
51143421044010
653411223513
711262535053
oct2417447745
9780056030
10339628005
11164790602
12958a7b99
1355494222
143316b1d3
151ec3a7c0
hex143e4fe5

339628005 has 64 divisors (see below), whose sum is σ = 637632000. Its totient is φ = 171173376.

The previous prime is 339627997. The next prime is 339628027. The reversal of 339628005 is 500826933.

It is not a de Polignac number, because 339628005 - 23 = 339627997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275731 + ... + 276959.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2339628005 is an apocalyptic number.

It is an amenable number.

339628005 is a deficient number, since it is larger than the sum of its proper divisors (298003995).

339628005 is a wasteful number, since it uses less digits than its factorization.

339628005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 339628005 is about 18428.9990232785. Note that the first 3 decimals coincide. The cubic root of 339628005 is about 697.6985675839.

Adding to 339628005 its sum of digits (36), we get a square (339628041 = 184292).

The spelling of 339628005 in words is "three hundred thirty-nine million, six hundred twenty-eight thousand, five".

Divisors: 1 3 5 9 15 23 27 45 69 89 115 135 207 267 345 445 621 801 1035 1229 1335 2047 2403 3105 3687 4005 6141 6145 10235 11061 12015 18423 18435 28267 30705 33183 55269 55305 84801 92115 109381 141335 165915 254403 276345 328143 424005 546905 763209 984429 1272015 1640715 2515763 2953287 3816045 4922145 7547289 12578815 14766435 22641867 37736445 67925601 113209335 339628005