Base | Representation |
---|---|
bin | 10100110000100… |
… | …111011100110110 |
3 | 220021100220110000 |
4 | 110300213130312 |
5 | 1203130220242 |
6 | 54321012130 |
7 | 11426256210 |
oct | 2460473466 |
9 | 807326400 |
10 | 348288822 |
11 | 169666602 |
12 | 98784046 |
13 | 5720737b |
14 | 343835b0 |
15 | 2089ba4c |
hex | 14c27736 |
348288822 has 80 divisors (see below), whose sum is σ = 895907232. Its totient is φ = 99066240.
The previous prime is 348288821. The next prime is 348288827. The reversal of 348288822 is 228882843.
It is a happy number.
348288822 is a `hidden beast` number, since 348 + 288 + 8 + 22 = 666.
It is a super-3 number, since 3×3482888223 (a number of 27 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (348288821) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318108 + ... + 319200.
Almost surely, 2348288822 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 348288822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447953616).
348288822 is an abundant number, since it is smaller than the sum of its proper divisors (547618410).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348288822 is a wasteful number, since it uses less digits than its factorization.
348288822 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).
The product of its digits is 393216, while the sum is 45.
The square root of 348288822 is about 18662.4977427996. The cubic root of 348288822 is about 703.5795028376.
The spelling of 348288822 in words is "three hundred forty-eight million, two hundred eighty-eight thousand, eight hundred twenty-two".
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