| Base | Representation |
|---|---|
| bin | 10100011111110… |
| … | …100111111100000 |
| 3 | 212222002022102200 |
| 4 | 110133310333200 |
| 5 | 1201013402330 |
| 6 | 54042413200 |
| 7 | 11343666312 |
| oct | 2437647740 |
| 9 | 788068380 |
| 10 | 343887840 |
| 11 | 16713002a |
| 12 | 97201200 |
| 13 | 5632613a |
| 14 | 339597b2 |
| 15 | 202cca60 |
| hex | 147f4fe0 |
343887840 has 144 divisors (see below), whose sum is σ = 1235379600. Its totient is φ = 86870016.
The previous prime is 343887833. The next prime is 343887847. The reversal of 343887840 is 48788343.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (343887833) and next prime (343887847).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×3438878403 (a number of 27 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343887847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21076 + ... + 33644.
It is an arithmetic number, because the mean of its divisors is an integer number (8579025).
Almost surely, 2343887840 is an apocalyptic number.
343887840 is a gapful number since it is divisible by the number (30) 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 343887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617689800).
343887840 is an abundant number, since it is smaller than the sum of its proper divisors (891491760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343887840 is a wasteful number, since it uses less digits than its factorization.
343887840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12609 (or 12598 counting only the distinct ones).
The product of its (nonzero) digits is 516096, while the sum is 45.
The square root of 343887840 is about 18544.2131135295. The cubic root of 343887840 is about 700.6034524185.
The spelling of 343887840 in words is "three hundred forty-three million, eight hundred eighty-seven thousand, eight hundred forty".
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