Base | Representation |
---|---|
bin | 10100110001110… |
… | …101100111000000 |
3 | 220021222011120222 |
4 | 110301311213000 |
5 | 1203220441320 |
6 | 54331522212 |
7 | 11432061440 |
oct | 2461654700 |
9 | 807864528 |
10 | 348608960 |
11 | 169865087 |
12 | 988b9368 |
13 | 572b9cbb |
14 | 34428120 |
15 | 20911825 |
hex | 14c759c0 |
348608960 has 112 divisors (see below), whose sum is σ = 998768640. Its totient is φ = 113218560.
The previous prime is 348608933. The next prime is 348608969. The reversal of 348608960 is 69806843.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (348608969) 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 15 ways as a sum of consecutive naturals, for example, 38465 + ... + 46655.
Almost surely, 2348608960 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 348608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499384320).
348608960 is an abundant number, since it is smaller than the sum of its proper divisors (650159680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348608960 is a wasteful number, since it uses less digits than its factorization.
348608960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8234 (or 8224 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 44.
The square root of 348608960 is about 18671.0728133120. The cubic root of 348608960 is about 703.7950074643.
The spelling of 348608960 in words is "three hundred forty-eight million, six hundred eight thousand, nine hundred sixty".
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