Base | Representation |
---|---|
bin | 1000100110010001… |
… | …0110100001100000 |
3 | 12221211220221210222 |
4 | 2021210112201200 |
5 | 14211322224112 |
6 | 1021004342212 |
7 | 111123513251 |
oct | 21144264140 |
9 | 5854827728 |
10 | 2308008032 |
11 | a848a0660 |
12 | 544b44968 |
13 | 2aa21a135 |
14 | 17c754b28 |
15 | d7954372 |
hex | 89916860 |
2308008032 has 96 divisors (see below), whose sum is σ = 5143025664. Its totient is φ = 1010073600.
The previous prime is 2308008023. The next prime is 2308008061.
2308008032 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 2308007992 and 2308008010.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803973 + ... + 2804795.
It is an arithmetic number, because the mean of its divisors is an integer number (53573184).
Almost surely, 22308008032 is an apocalyptic number.
2308008032 is a gapful number since it is divisible by the number (22) 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 2308008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571512832).
2308008032 is an abundant number, since it is smaller than the sum of its proper divisors (2835017632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2308008032 is a wasteful number, since it uses less digits than its factorization.
2308008032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
The square root of 2308008032 is about 48041.7321919183. The cubic root of 2308008032 is about 1321.5363256809.
It can be divided in two parts, 230800 and 8032, that added together give a palindrome (238832).
The spelling of 2308008032 in words is "two billion, three hundred eight million, eight thousand, thirty-two".
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