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3290609664 = 2113359509
BaseRepresentation
bin1100010000100010…
…1011100000000000
322111022212021212000
43010020223200000
523214344002124
61302305104000
7144354502116
oct30410534000
98438767760
103290609664
111439510821
1277a028000
13405975114
14233053ab6
15143d4a6c9
hexc422b800

3290609664 has 96 divisors (see below), whose sum is σ = 9747738000. Its totient is φ = 1096851456.

The previous prime is 3290609653. The next prime is 3290609683. The reversal of 3290609664 is 4669060923.

3290609664 is a `hidden beast` number, since 32 + 9 + 0 + 609 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32906096642 = 21656223921620385792, which contains 22 as substring.

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, 25542 + ... + 85050.

Almost surely, 23290609664 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 3290609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873869000).

3290609664 is an abundant number, since it is smaller than the sum of its proper divisors (6457128336).

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

3290609664 is an equidigital number, since it uses as much as digits as its factorization.

3290609664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59540 (or 59514 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3290609664 is about 57363.8358550054. The cubic root of 3290609664 is about 1487.3920513335.

It can be divided in two parts, 329060 and 9664, that added together give a square (338724 = 5822).

The spelling of 3290609664 in words is "three billion, two hundred ninety million, six hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 59509 119018 178527 238036 357054 476072 535581 714108 952144 1071162 1428216 1606743 1904288 2142324 2856432 3213486 3808576 4284648 5712864 6426972 7617152 8569296 11425728 12853944 15234304 17138592 22851456 25707888 30468608 34277184 45702912 51415776 60937216 68554368 91405824 102831552 121874432 137108736 182811648 205663104 274217472 365623296 411326208 548434944 822652416 1096869888 1645304832 3290609664