Base | Representation |
---|---|
bin | 10100011100110… |
… | …001111100100000 |
3 | 212220120201112100 |
4 | 110130301330200 |
5 | 1200312321203 |
6 | 54013330400 |
7 | 11334131160 |
oct | 2434617440 |
9 | 786521470 |
10 | 343088928 |
11 | 166734876 |
12 | 96a96a00 |
13 | 56106600 |
14 | 337cc5a0 |
15 | 201c0ea3 |
hex | 14731f20 |
343088928 has 432 divisors, whose sum is σ = 1294937280. Its totient is φ = 84105216.
The previous prime is 343088927. The next prime is 343088957. The reversal of 343088928 is 829880343.
It is not an unprimeable number, because it can be changed into a prime (343088923) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 6473350 + ... + 6473402.
It is an arithmetic number, because the mean of its divisors is an integer number (2997540).
Almost surely, 2343088928 is an apocalyptic number.
343088928 is a gapful number since it is divisible by the number (38) 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 343088928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647468640).
343088928 is an abundant number, since it is smaller than the sum of its proper divisors (951848352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343088928 is a wasteful number, since it uses less digits than its factorization.
343088928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 97 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The square root of 343088928 is about 18522.6598521919. The cubic root of 343088928 is about 700.0604900107.
The spelling of 343088928 in words is "three hundred forty-three million, eighty-eight thousand, nine hundred twenty-eight".
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