Base | Representation |
---|---|
bin | 111110000011001… |
… | …111000001000000 |
3 | 2200112220002000000 |
4 | 332003033001000 |
5 | 4113001112303 |
6 | 251145000000 |
7 | 34540440264 |
oct | 7603170100 |
9 | 2615802000 |
10 | 1041035328 |
11 | 494701283 |
12 | 250783000 |
13 | 1378a7048 |
14 | 9c3900a4 |
15 | 615d9da3 |
hex | 3e0cf040 |
1041035328 has 196 divisors, whose sum is σ = 3163225068. Its totient is φ = 339655680.
The previous prime is 1041035323. The next prime is 1041035329. The reversal of 1041035328 is 8235301401.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 764411904 = 16632^2 + 27648^2 .
It is a super-3 number, since 3×10410353283 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (1041035323) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2472558 + ... + 2472978.
It is a vampire number, since it can be written as 30528 ⋅ 34101 (with its own digits).
Almost surely, 21041035328 is an apocalyptic number.
1041035328 is a gapful number since it is divisible by the number (18) 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 1041035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581612534).
1041035328 is an abundant number, since it is smaller than the sum of its proper divisors (2122189740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1041035328 is an frugal number, since it uses more digits than its factorization.
1041035328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504 (or 479 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 1041035328 is about 32265.0790794010. The cubic root of 1041035328 is about 1013.4954949777.
Adding to 1041035328 its reverse (8235301401), we get a palindrome (9276336729).
The spelling of 1041035328 in words is "one billion, forty-one million, thirty-five thousand, three hundred twenty-eight".
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