Base | Representation |
---|---|
bin | 10100011111000… |
… | …011100100000000 |
3 | 212221201000201000 |
4 | 110133003210000 |
5 | 1200440413001 |
6 | 54034212000 |
7 | 11342164116 |
oct | 2437034400 |
9 | 787630630 |
10 | 343685376 |
11 | 167001a01 |
12 | 97124000 |
13 | 56284c38 |
14 | 33905ab6 |
15 | 2028ca86 |
hex | 147c3900 |
343685376 has 144 divisors (see below), whose sum is σ = 1070238400. Its totient is φ = 108490752.
The previous prime is 343685371. The next prime is 343685383. The reversal of 343685376 is 673586343.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3436853762 = 236239275352522752, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (343685371) 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 15 ways as a sum of consecutive naturals, for example, 130020 + ... + 132636.
Almost surely, 2343685376 is an apocalyptic number.
343685376 is a gapful number since it is divisible by the number (36) 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 343685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535119200).
343685376 is an abundant number, since it is smaller than the sum of its proper divisors (726553024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343685376 is a wasteful number, since it uses less digits than its factorization.
343685376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2661 (or 2641 counting only the distinct ones).
The product of its digits is 1088640, while the sum is 45.
The square root of 343685376 is about 18538.7533561456. The cubic root of 343685376 is about 700.4659319758.
The spelling of 343685376 in words is "three hundred forty-three million, six hundred eighty-five thousand, three hundred seventy-six".
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