Base | Representation |
---|---|
bin | 1011000011000… |
… | …0000010000000 |
3 | 10020012000102001 |
4 | 2300300002000 |
5 | 43330142310 |
6 | 4333033344 |
7 | 1101555532 |
oct | 260600200 |
9 | 106160361 |
10 | 46334080 |
11 | 24177531 |
12 | 13625854 |
13 | 97a3920 |
14 | 6221852 |
15 | 410393a |
hex | 2c30080 |
46334080 has 64 divisors (see below), whose sum is σ = 119309400. Its totient is φ = 17104896.
The previous prime is 46334063. The next prime is 46334081. The reversal of 46334080 is 8043364.
It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 25321024 = 4584^2 + 5032^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (46334081) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5536 + ... + 11104.
Almost surely, 246334080 is an apocalyptic number.
46334080 is a gapful number since it is divisible by the number (40) 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 46334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59654700).
46334080 is an abundant number, since it is smaller than the sum of its proper divisors (72975320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46334080 is a wasteful number, since it uses less digits than its factorization.
46334080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5601 (or 5589 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 46334080 is about 6806.9141319691. The cubic root of 46334080 is about 359.1701048031.
It can be divided in two parts, 463 and 34080, that added together give a palindrome (34543).
The spelling of 46334080 in words is "forty-six million, three hundred thirty-four thousand, eighty".
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