| Base | Representation |
|---|---|
| bin | 10100011111110… |
| … | …001001000000000 |
| 3 | 212222001111201000 |
| 4 | 110133301020000 |
| 5 | 1201012401000 |
| 6 | 54042212000 |
| 7 | 11343602163 |
| oct | 2437611000 |
| 9 | 788044630 |
| 10 | 343872000 |
| 11 | 16711a13a |
| 12 | 971b4000 |
| 13 | 5631bb74 |
| 14 | 33953ada |
| 15 | 202c8000 |
| hex | 147f1200 |
343872000 has 320 divisors, whose sum is σ = 1276704000. Its totient is φ = 91238400.
The previous prime is 343871981. The next prime is 343872019. The reversal of 343872000 is 278343.
343872000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (343871981) and next prime (343872019).
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 1727901 + ... + 1728099.
It is an arithmetic number, because the mean of its divisors is an integer number (3989700).
Almost surely, 2343872000 is an apocalyptic number.
343872000 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 343872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352000).
343872000 is an abundant number, since it is smaller than the sum of its proper divisors (932832000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343872000 is an equidigital number, since it uses as much as digits as its factorization.
343872000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 241 (or 209 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 343872000 is about 18543.7860211986. The cubic root of 343872000 is about 700.5926952977.
The spelling of 343872000 in words is "three hundred forty-three million, eight hundred seventy-two thousand".
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