Base | Representation |
---|---|
bin | 100111100100101011100111… |
… | …0110110100110100011000000 |
3 | 1200122110222210112002002221200 |
4 | 1033021113032312212203000 |
5 | 331111042431300040410 |
6 | 3232153531142021200 |
7 | 133214415161111430 |
oct | 11711271666464300 |
9 | 1618428715062850 |
10 | 348089094924480 |
11 | a0a0383546a218 |
12 | 33059bb9717800 |
13 | 11c2c878a33050 |
14 | 61d58601b02c0 |
15 | 2a398e218c3c0 |
hex | 13c95ceda68c0 |
348089094924480 has 1344 divisors, whose sum is σ = 1533327653265408. Its totient is φ = 70523991982080.
The previous prime is 348089094924421. The next prime is 348089094924481. The reversal of 348089094924480 is 84429490980843.
348089094924480 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 8 + 9 + 0 + 94 + 92 + 448 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 348089094924399 and 348089094924408.
It is not an unprimeable number, because it can be changed into a prime (348089094924481) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652574685 + ... + 653107875.
It is an arithmetic number, because the mean of its divisors is an integer number (1140868789632).
Almost surely, 2348089094924480 is an apocalyptic number.
348089094924480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 348089094924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766663826632704).
348089094924480 is an abundant number, since it is smaller than the sum of its proper divisors (1185238558340928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348089094924480 is a wasteful number, since it uses less digits than its factorization.
348089094924480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 533334 (or 533321 counting only the distinct ones).
The product of its (nonzero) digits is 573308928, while the sum is 72.
The spelling of 348089094924480 in words is "three hundred forty-eight trillion, eighty-nine billion, ninety-four million, nine hundred twenty-four thousand, four hundred eighty".
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