| Base | Representation |
|---|---|
| bin | 111101101000100… |
| … | …110011000001000 |
| 3 | 2200001202100020000 |
| 4 | 331220212120020 |
| 5 | 4104204200003 |
| 6 | 250335203000 |
| 7 | 34424210103 |
| oct | 7550463010 |
| 9 | 2601670200 |
| 10 | 1034053128 |
| 11 | 490772469 |
| 12 | 24a376460 |
| 13 | 136300c74 |
| 14 | 9b49373a |
| 15 | 60bab1a3 |
| hex | 3da26608 |
1034053128 has 80 divisors (see below), whose sum is σ = 2967024060. Its totient is φ = 336268800.
The previous prime is 1034053127. The next prime is 1034053183. The reversal of 1034053128 is 8213504301.
It is a happy number.
1034053128 is a `hidden beast` number, since 1 + 0 + 340 + 5 + 312 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 634133124 + 399920004 = 25182^2 + 19998^2 .
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 (1034053127) 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 19 ways as a sum of consecutive naturals, for example, 7108 + ... + 46028.
Almost surely, 21034053128 is an apocalyptic number.
1034053128 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 1034053128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483512030).
1034053128 is an abundant number, since it is smaller than the sum of its proper divisors (1932970932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034053128 is a wasteful number, since it uses less digits than its factorization.
1034053128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38980 (or 38967 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 1034053128 is about 32156.6964721191. The cubic root of 1034053128 is about 1011.2245800695.
Adding to 1034053128 its reverse (8213504301), we get a palindrome (9247557429).
The spelling of 1034053128 in words is "one billion, thirty-four million, fifty-three thousand, one hundred twenty-eight".
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