Base | Representation |
---|---|
bin | 1100110010010001… |
… | …0111011001000000 |
3 | 22212012001222121100 |
4 | 3030210113121000 |
5 | 24012103210211 |
6 | 1324321254400 |
7 | 151023145611 |
oct | 31444273100 |
9 | 8765058540 |
10 | 3432085056 |
11 | 1501360334 |
12 | 7b9494400 |
13 | 42907ab7a |
14 | 247b5dc08 |
15 | 151494156 |
hex | cc917640 |
3432085056 has 63 divisors (see below), whose sum is σ = 9841483873. Its totient is φ = 1143559680.
The previous prime is 3432085043. The next prime is 3432085067. The reversal of 3432085056 is 6505802343.
It is a happy number.
The square root of 3432085056 is 58584.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 331822656 + 3100262400 = 18216^2 + 55680^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 3432085056.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1404796 + ... + 1407236.
Almost surely, 23432085056 is an apocalyptic number.
3432085056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
3432085056 is the 58584-th square number.
It is an amenable number.
3432085056 is an abundant number, since it is smaller than the sum of its proper divisors (6409398817).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3432085056 is an frugal number, since it uses more digits than its factorization.
3432085056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4900 (or 2446 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The cubic root of 3432085056 is about 1508.4098073114.
Multiplying 3432085056 by its sum of digits (36), we get a square (123555062016 = 3515042).
3432085056 divided by its sum of digits (36) gives a square (95335696 = 97642).
Adding to 3432085056 its reverse (6505802343), we get a palindrome (9937887399).
The spelling of 3432085056 in words is "three billion, four hundred thirty-two million, eighty-five thousand, fifty-six".
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