Base | Representation |
---|---|
bin | 1100010000100010… |
… | …1011100000000000 |
3 | 22111022212021212000 |
4 | 3010020223200000 |
5 | 23214344002124 |
6 | 1302305104000 |
7 | 144354502116 |
oct | 30410534000 |
9 | 8438767760 |
10 | 3290609664 |
11 | 1439510821 |
12 | 77a028000 |
13 | 405975114 |
14 | 233053ab6 |
15 | 143d4a6c9 |
hex | c422b800 |
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".
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