| Base | Representation |
|---|---|
| bin | 10100010111100… |
| … | …101101110000000 |
| 3 | 212211000120212100 |
| 4 | 110113211232000 |
| 5 | 1144440300003 |
| 6 | 53524230400 |
| 7 | 11316432630 |
| oct | 2427455600 |
| 9 | 784016770 |
| 10 | 341728128 |
| 11 | 165995445 |
| 12 | 9653b400 |
| 13 | 55a4b0c1 |
| 14 | 335566c0 |
| 15 | 20002ba3 |
| hex | 145e5b80 |
341728128 has 192 divisors, whose sum is σ = 1160939520. Its totient is φ = 94417920.
The previous prime is 341728087. The next prime is 341728133. The reversal of 341728128 is 821827143.
341728128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×3417281282 = 233556226932768768, 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 = 341728092 and 341728101.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249301 + ... + 250667.
It is an arithmetic number, because the mean of its divisors is an integer number (6046560).
Almost surely, 2341728128 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 341728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580469760).
341728128 is an abundant number, since it is smaller than the sum of its proper divisors (819211392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
341728128 is a wasteful number, since it uses less digits than its factorization.
341728128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1425 (or 1410 counting only the distinct ones).
The product of its digits is 21504, while the sum is 36.
The square root of 341728128 is about 18485.8899704613. The cubic root of 341728128 is about 699.1337093096.
The spelling of 341728128 in words is "three hundred forty-one million, seven hundred twenty-eight thousand, one hundred twenty-eight".
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