Base | Representation |
---|---|
bin | 10101000101011… |
… | …001110101000000 |
3 | 220122121202101012 |
4 | 111011121311000 |
5 | 1211024104143 |
6 | 55033500052 |
7 | 11523503156 |
oct | 2505316500 |
9 | 818552335 |
10 | 353738048 |
11 | 1717486a4 |
12 | 9a571628 |
13 | 58394771 |
14 | 34da13d6 |
15 | 210c6418 |
hex | 15159d40 |
353738048 has 56 divisors (see below), whose sum is σ = 746760000. Its totient is φ = 165777408.
The previous prime is 353738039. The next prime is 353738083. The reversal of 353738048 is 840837353.
It is a super-3 number, since 3×3537380483 (a number of 27 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 353737996 and 353738014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116453 + ... + 119451.
It is an arithmetic number, because the mean of its divisors is an integer number (13335000).
Almost surely, 2353738048 is an apocalyptic number.
353738048 is a gapful number since it is divisible by the number (38) 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 353738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373380000).
353738048 is an abundant number, since it is smaller than the sum of its proper divisors (393021952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
353738048 is a wasteful number, since it uses less digits than its factorization.
353738048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3127 (or 3117 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 41.
The square root of 353738048 is about 18807.9251380901. The cubic root of 353738048 is about 707.2298646984.
The spelling of 353738048 in words is "three hundred fifty-three million, seven hundred thirty-eight thousand, forty-eight".
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