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3285697041 = 361121932
BaseRepresentation
bin1100001111010111…
…1100001000010001
322110222121201000000
43003311330020101
523212114301131
61302011520213
7144264651444
oct30365741021
98428551000
103285697041
111436765900
12778459069
13404945043
1423253565b
151436c9ce6
hexc3d7c211

3285697041 has 63 divisors (see below), whose sum is σ = 5443051467. Its totient is φ = 1981013760.

The previous prime is 3285697031. The next prime is 3285697069. The reversal of 3285697041 is 1407965823.

The square root of 3285697041 is 57321.

It is a perfect power (a square), and thus also a powerful number.

3285697041 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 796086225 + 2489610816 = 28215^2 + 49896^2 .

It is not a de Polignac number, because 3285697041 - 213 = 3285688849 is a prime.

3285697041 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3285697031) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 17024241 + ... + 17024433.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3285697041 = 6571394082, but 3⋅3285697041 = 9857091123 is not.

Almost surely, 23285697041 is an apocalyptic number.

3285697041 is the 57321-st square number.

3285697041 is the 28661-st centered octagonal number.

It is an amenable number.

3285697041 is a deficient number, since it is larger than the sum of its proper divisors (2157354426).

3285697041 is an frugal number, since it uses more digits than its factorization.

3285697041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 3285697041 is about 1486.6514959932.

The spelling of 3285697041 in words is "three billion, two hundred eighty-five million, six hundred ninety-seven thousand, forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 193 243 297 363 579 729 891 1089 1737 2123 2673 3267 5211 6369 8019 9801 15633 19107 23353 29403 37249 46899 57321 70059 88209 111747 140697 171963 210177 335241 409739 515889 630531 1005723 1229217 1547667 1891593 3017169 3687651 4507129 5674779 9051507 11062953 13521387 17024337 27154521 33188859 40564161 99566577 121692483 298699731 365077449 1095232347 3285697041