Base | Representation |
---|---|
bin | 11100000100000… |
… | …01011001000000 |
3 | 121101222010012020 |
4 | 32002001121000 |
5 | 440231123013 |
6 | 35205401440 |
7 | 5555650320 |
oct | 1602013100 |
9 | 541863166 |
10 | 235411008 |
11 | 110979858 |
12 | 66a09280 |
13 | 39a05171 |
14 | 2339d280 |
15 | 15a01623 |
hex | e081640 |
235411008 has 112 divisors (see below), whose sum is σ = 722156544. Its totient is φ = 66286080.
The previous prime is 235410997. The next prime is 235411027. The reversal of 235411008 is 800114532.
235411008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94191 + ... + 96657.
Almost surely, 2235411008 is an apocalyptic number.
235411008 is a gapful number since it is divisible by the number (28) 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 235411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361078272).
235411008 is an abundant number, since it is smaller than the sum of its proper divisors (486745536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235411008 is a wasteful number, since it uses less digits than its factorization.
235411008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2560 (or 2550 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 235411008 is about 15343.1094632086. The cubic root of 235411008 is about 617.4601332532.
The spelling of 235411008 in words is "two hundred thirty-five million, four hundred eleven thousand, eight".
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