| Base | Representation |
|---|---|
| bin | 1011111000001000… |
| … | …0101110010100000 |
| 3 | 22020012012022022200 |
| 4 | 2332002011302200 |
| 5 | 23012141002130 |
| 6 | 1244210333200 |
| 7 | 142002262146 |
| oct | 27602056240 |
| 9 | 8205168280 |
| 10 | 3188219040 |
| 11 | 1396737176 |
| 12 | 74b88a200 |
| 13 | 3ba6a5456 |
| 14 | 2235dd596 |
| 15 | 139d72760 |
| hex | be085ca0 |
3188219040 has 144 divisors (see below), whose sum is σ = 11145364776. Its totient is φ = 829440000.
The previous prime is 3188219039. The next prime is 3188219063. The reversal of 3188219040 is 409128813.
It can be written as a sum of positive squares in 4 ways, for example, as 1245525264 + 1942693776 = 35292^2 + 44076^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3188218986 and 3188219004.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 32040 + ... + 86040.
Almost surely, 23188219040 is an apocalyptic number.
3188219040 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 3188219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572682388).
3188219040 is an abundant number, since it is smaller than the sum of its proper divisors (7957145736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3188219040 is a wasteful number, since it uses less digits than its factorization.
3188219040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54063 (or 54052 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 3188219040 is about 56464.3165193735. The cubic root of 3188219040 is about 1471.8019828546.
The spelling of 3188219040 in words is "three billion, one hundred eighty-eight million, two hundred nineteen thousand, forty".
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