Base | Representation |
---|---|
bin | 1000100101001001… |
… | …0111001011100000 |
3 | 12221112001100210212 |
4 | 2021102113023200 |
5 | 14204120322003 |
6 | 1020315313252 |
7 | 111035442254 |
oct | 21122271340 |
9 | 5845040725 |
10 | 2303292128 |
11 | a8216a515 |
12 | 54344b828 |
13 | 2a9258767 |
14 | 17bc88264 |
15 | d7321dd8 |
hex | 894972e0 |
2303292128 has 48 divisors (see below), whose sum is σ = 4737761280. Its totient is φ = 1100178816.
The previous prime is 2303292127. The next prime is 2303292139. The reversal of 2303292128 is 8212923032.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 2303292094 and 2303292103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2303292127) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 798593 + ... + 801471.
It is an arithmetic number, because the mean of its divisors is an integer number (98703360).
Almost surely, 22303292128 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 2303292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).
2303292128 is an abundant number, since it is smaller than the sum of its proper divisors (2434469152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2303292128 is a wasteful number, since it uses less digits than its factorization.
2303292128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3999 (or 3991 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 32.
The square root of 2303292128 is about 47992.6257668821. The cubic root of 2303292128 is about 1320.6356228647.
It can be divided in two parts, 23032 and 92128, that multiplied together give a square (2121892096 = 460642).
The spelling of 2303292128 in words is "two billion, three hundred three million, two hundred ninety-two thousand, one hundred twenty-eight".
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