| Base | Representation |
|---|---|
| bin | 10100101001011… |
| … | …101111100000000 |
| 3 | 220010211200211120 |
| 4 | 110221131330000 |
| 5 | 1202140233343 |
| 6 | 54212512240 |
| 7 | 11404322553 |
| oct | 2451357400 |
| 9 | 803750746 |
| 10 | 346414848 |
| 11 | 1685a666a |
| 12 | 9801b680 |
| 13 | 569cc400 |
| 14 | 3401669a |
| 15 | 2062b683 |
| hex | 14a5df00 |
346414848 has 216 divisors, whose sum is σ = 1063803888. Its totient is φ = 99680256.
The previous prime is 346414843. The next prime is 346414867. The reversal of 346414848 is 848414643.
346414848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×3464148483 (a number of 27 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (294912) is a multiple of the sum of its prime divisors (192).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (346414841) by changing a digit.
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, 2206386 + ... + 2206542.
It is an arithmetic number, because the mean of its divisors is an integer number (4925018).
Almost surely, 2346414848 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 346414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531901944).
346414848 is an abundant number, since it is smaller than the sum of its proper divisors (717389040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
346414848 is a wasteful number, since it uses less digits than its factorization.
346414848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 192 counting only the distinct ones).
The product of its digits is 294912, while the sum is 42.
The square root of 346414848 is about 18612.2230805458. The cubic root of 346414848 is about 702.3153589961.
The spelling of 346414848 in words is "three hundred forty-six million, four hundred fourteen thousand, eight hundred forty-eight".
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