Base | Representation |
---|---|
bin | 10100001011111… |
… | …101000001011000 |
3 | 212121021121200000 |
4 | 110023331001120 |
5 | 1143200142343 |
6 | 53335013000 |
7 | 11251466655 |
oct | 2413750130 |
9 | 777247600 |
10 | 338677848 |
11 | 1641a1753 |
12 | 9550a160 |
13 | 552208c2 |
14 | 32da0c2c |
15 | 1eaeded3 |
hex | 142fd058 |
338677848 has 96 divisors (see below), whose sum is σ = 963144000. Its totient is φ = 111479328.
The previous prime is 338677813. The next prime is 338677861. The reversal of 338677848 is 848776833.
338677848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3386778482 = 229405369451822208, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 338677794 and 338677803.
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 23 ways as a sum of consecutive naturals, for example, 160303 + ... + 162401.
It is an arithmetic number, because the mean of its divisors is an integer number (10032750).
Almost surely, 2338677848 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 338677848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572000).
338677848 is an abundant number, since it is smaller than the sum of its proper divisors (624466152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338677848 is a wasteful number, since it uses less digits than its factorization.
338677848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2203 (or 2187 counting only the distinct ones).
The product of its digits is 5419008, while the sum is 54.
The square root of 338677848 is about 18403.2021126759. The cubic root of 338677848 is about 697.0473233425.
The spelling of 338677848 in words is "three hundred thirty-eight million, six hundred seventy-seven thousand, eight hundred forty-eight".
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