Base | Representation |
---|---|
bin | 10100101011000… |
… | …110010100010000 |
3 | 220011122102022020 |
4 | 110223012110100 |
5 | 1202242424014 |
6 | 54230011440 |
7 | 11411053200 |
oct | 2453062420 |
9 | 804572266 |
10 | 346842384 |
11 | 1688688a9 |
12 | 981a6b80 |
13 | 56b1bba5 |
14 | 340c8400 |
15 | 206b31a9 |
hex | 14ac6510 |
346842384 has 240 divisors, whose sum is σ = 1107357696. Its totient is φ = 93139200.
The previous prime is 346842373. The next prime is 346842389. The reversal of 346842384 is 483248643.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (346842389) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4885069 + ... + 4885139.
Almost surely, 2346842384 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 346842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553678848).
346842384 is an abundant number, since it is smaller than the sum of its proper divisors (760515312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
346842384 is a wasteful number, since it uses less digits than its factorization.
346842384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194 (or 181 counting only the distinct ones).
The product of its digits is 442368, while the sum is 42.
The square root of 346842384 is about 18623.7048945692. The cubic root of 346842384 is about 702.6041665336.
The spelling of 346842384 in words is "three hundred forty-six million, eight hundred forty-two thousand, three hundred eighty-four".
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