Base | Representation |
---|---|
bin | 10100101100100… |
… | …011010000000000 |
3 | 220012100202110121 |
4 | 110230203100000 |
5 | 1202342114130 |
6 | 54242110024 |
7 | 11414230033 |
oct | 2454432000 |
9 | 805322417 |
10 | 347223040 |
11 | 168aa889a |
12 | 9834b314 |
13 | 56c23228 |
14 | 3418701a |
15 | 2073ad7a |
hex | 14b23400 |
347223040 has 88 divisors (see below), whose sum is σ = 845247240. Its totient is φ = 136839168.
The previous prime is 347223029. The next prime is 347223047. The reversal of 347223040 is 40322743.
347223040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 369664 + 346853376 = 608^2 + 18624^2 .
It is a junction number, because it is equal to n+sod(n) for n = 347222996 and 347223014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (347223047) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373296 + ... + 374224.
Almost surely, 2347223040 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 347223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422623620).
347223040 is an abundant number, since it is smaller than the sum of its proper divisors (498024200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
347223040 is an equidigital number, since it uses as much as digits as its factorization.
347223040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 25.
The square root of 347223040 is about 18633.9217557657. The cubic root of 347223040 is about 702.8611062101.
Adding to 347223040 its reverse (40322743), we get a palindrome (387545783).
The spelling of 347223040 in words is "three hundred forty-seven million, two hundred twenty-three thousand, forty".
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