Base | Representation |
---|---|
bin | 1011000010111… |
… | …1001000000000 |
3 | 10020011211022120 |
4 | 2300233020000 |
5 | 43330032433 |
6 | 4333004240 |
7 | 1101541650 |
oct | 260571000 |
9 | 106154276 |
10 | 46330368 |
11 | 24174767 |
12 | 13623680 |
13 | 97a2026 |
14 | 6220360 |
15 | 41027b3 |
hex | 2c2f200 |
46330368 has 160 divisors (see below), whose sum is σ = 146657280. Its totient is φ = 12718080.
The previous prime is 46330367. The next prime is 46330373. The reversal of 46330368 is 86303364.
It is not an unprimeable number, because it can be changed into a prime (46330363) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333243 + ... + 333381.
It is an arithmetic number, because the mean of its divisors is an integer number (916608).
Almost surely, 246330368 is an apocalyptic number.
46330368 is a gapful number since it is divisible by the number (48) 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 46330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).
46330368 is an abundant number, since it is smaller than the sum of its proper divisors (100326912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46330368 is a wasteful number, since it uses less digits than its factorization.
46330368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 198 (or 182 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 33.
The square root of 46330368 is about 6806.6414625717. The cubic root of 46330368 is about 359.1605130510.
Subtracting from 46330368 its product of nonzero digits (31104), we obtain a palindrome (46299264).
The spelling of 46330368 in words is "forty-six million, three hundred thirty thousand, three hundred sixty-eight".
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