Base | Representation |
---|---|
bin | 1011001011111011… |
… | …1000110011000100 |
3 | 21202021100120101200 |
4 | 2302332320303010 |
5 | 22122211030040 |
6 | 1213545022500 |
7 | 134261430321 |
oct | 26276706304 |
9 | 7667316350 |
10 | 3002830020 |
11 | 1301023703 |
12 | 6b9784a30 |
13 | 38b1656c8 |
14 | 206b41b48 |
15 | 128952630 |
hex | b2fb8cc4 |
3002830020 has 144 divisors (see below), whose sum is σ = 9664265520. Its totient is φ = 752099328.
The previous prime is 3002830009. The next prime is 3002830031. The reversal of 3002830020 is 200382003.
It is an interprime number because it is at equal distance from previous prime (3002830009) and next prime (3002830031).
It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 3002820804 = 96^2 + 54798^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3002829975 and 3002830002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2474934 + ... + 2476146.
It is an arithmetic number, because the mean of its divisors is an integer number (67112955).
Almost surely, 23002830020 is an apocalyptic number.
3002830020 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 3002830020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832132760).
3002830020 is an abundant number, since it is smaller than the sum of its proper divisors (6661435500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3002830020 is a wasteful number, since it uses less digits than its factorization.
3002830020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2054 (or 2049 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 3002830020 is about 54798.0840905957. The cubic root of 3002830020 is about 1442.7029383471.
The spelling of 3002830020 in words is "three billion, two million, eight hundred thirty thousand, twenty".
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