Base | Representation |
---|---|
bin | 1100110001111100… |
… | …1110100010100000 |
3 | 22212002112112220100 |
4 | 3030133032202200 |
5 | 24011232104310 |
6 | 1324232342400 |
7 | 151005535560 |
oct | 31437164240 |
9 | 8762475810 |
10 | 3430738080 |
11 | 1500620330 |
12 | 7b8b44a00 |
13 | 4289c8a43 |
14 | 2478ccda0 |
15 | 1512c9ec0 |
hex | cc7ce8a0 |
3430738080 has 288 divisors, whose sum is σ = 14596702848. Its totient is φ = 712857600.
The previous prime is 3430738079. The next prime is 3430738093. The reversal of 3430738080 is 808370343.
3430738080 is a `hidden beast` number, since 3 + 430 + 73 + 80 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95410 + ... + 126350.
It is an arithmetic number, because the mean of its divisors is an integer number (50682996).
Almost surely, 23430738080 is an apocalyptic number.
3430738080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3430738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298351424).
3430738080 is an abundant number, since it is smaller than the sum of its proper divisors (11165964768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3430738080 is a wasteful number, since it uses less digits than its factorization.
3430738080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30980 (or 30969 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 3430738080 is about 58572.5027636689. The cubic root of 3430738080 is about 1508.2124484041.
It can be divided in two parts, 343073 and 8080, that added together give a palindrome (351153).
The spelling of 3430738080 in words is "three billion, four hundred thirty million, seven hundred thirty-eight thousand, eighty".
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