Base | Representation |
---|---|
bin | 10100011111000… |
… | …001100001110000 |
3 | 212221200121021021 |
4 | 110133001201300 |
5 | 1200440131130 |
6 | 54034105224 |
7 | 11342130610 |
oct | 2437014160 |
9 | 787617237 |
10 | 343677040 |
11 | 166aa6713 |
12 | 9711b214 |
13 | 562811c5 |
14 | 33902a40 |
15 | 2028a37a |
hex | 147c1870 |
343677040 has 80 divisors (see below), whose sum is σ = 952939008. Its totient is φ = 112704768.
The previous prime is 343677023. The next prime is 343677077. The reversal of 343677040 is 40776343.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×3436770402 = 236227815646323200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 343676987 and 343677005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462 + ... + 26221.
Almost surely, 2343677040 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 343677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476469504).
343677040 is an abundant number, since it is smaller than the sum of its proper divisors (609261968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343677040 is a wasteful number, since it uses less digits than its factorization.
343677040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26726 (or 26720 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 34.
The square root of 343677040 is about 18538.5285284458. The cubic root of 343677040 is about 700.4602687232.
The spelling of 343677040 in words is "three hundred forty-three million, six hundred seventy-seven thousand, forty".
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