Base | Representation |
---|---|
bin | 10100110001111… |
… | …101111000000000 |
3 | 220022000220000220 |
4 | 110301331320000 |
5 | 1203223032231 |
6 | 54332343040 |
7 | 11432262234 |
oct | 2461757000 |
9 | 808026026 |
10 | 348642816 |
11 | 169888565 |
12 | 98914a80 |
13 | 572cc532 |
14 | 344365c4 |
15 | 2091b896 |
hex | 14c7de00 |
348642816 has 80 divisors (see below), whose sum is σ = 944286288. Its totient is φ = 114309120.
The previous prime is 348642779. The next prime is 348642821. The reversal of 348642816 is 618246843.
It is an ABA number since it can be written as A⋅BA, here for A=3, B=488.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
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 7 ways as a sum of consecutive naturals, for example, 5715426 + ... + 5715486.
Almost surely, 2348642816 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 348642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472143144).
348642816 is an abundant number, since it is smaller than the sum of its proper divisors (595643472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348642816 is an frugal number, since it uses more digits than its factorization.
348642816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204 (or 66 counting only the distinct ones).
The product of its digits is 221184, while the sum is 42.
The square root of 348642816 is about 18671.9794344360. The cubic root of 348642816 is about 703.8177903100.
The spelling of 348642816 in words is "three hundred forty-eight million, six hundred forty-two thousand, eight hundred sixteen".
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