Base | Representation |
---|---|
bin | 10100011110000… |
… | …110110000101000 |
3 | 212221020101002000 |
4 | 110132012300220 |
5 | 1200404430303 |
6 | 54025011000 |
7 | 11340106044 |
oct | 2436066050 |
9 | 787211060 |
10 | 343436328 |
11 | 166951884 |
12 | 97023a60 |
13 | 561c8781 |
14 | 3387d024 |
15 | 2023dda3 |
hex | 14786c28 |
343436328 has 128 divisors (see below), whose sum is σ = 997920000. Its totient is φ = 109299456.
The previous prime is 343436323. The next prime is 343436341. The reversal of 343436328 is 823634343.
It is a super-2 number, since 2×3434363282 = 235897022780247168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 343436292 and 343436301.
It is not an unprimeable number, because it can be changed into a prime (343436323) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682525 + ... + 683027.
It is an arithmetic number, because the mean of its divisors is an integer number (7796250).
Almost surely, 2343436328 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 343436328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960000).
343436328 is an abundant number, since it is smaller than the sum of its proper divisors (654483672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343436328 is a wasteful number, since it uses less digits than its factorization.
343436328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 656 (or 646 counting only the distinct ones).
The product of its digits is 124416, while the sum is 36.
The square root of 343436328 is about 18532.0351823538. The cubic root of 343436328 is about 700.2966959959.
The spelling of 343436328 in words is "three hundred forty-three million, four hundred thirty-six thousand, three hundred twenty-eight".
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