| Base | Representation |
|---|---|
| bin | 101001111000011… |
| … | …1100110100000000 |
| 3 | 10121221101201100000 |
| 4 | 1103300330310000 |
| 5 | 10334231402203 |
| 6 | 351241200000 |
| 7 | 46553125605 |
| oct | 12360746400 |
| 9 | 3557351300 |
| 10 | 1405340928 |
| 11 | 661307492 |
| 12 | 332790000 |
| 13 | 1951cb7a4 |
| 14 | d49026ac |
| 15 | 8359c4a3 |
| hex | 53c3cd00 |
1405340928 has 432 divisors, whose sum is σ = 4687300800. Its totient is φ = 418037760.
The previous prime is 1405340897. The next prime is 1405340929. The reversal of 1405340928 is 8290435041.
It is a tau number, because it is divible by the number of its divisors (432).
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 = 1405340892 and 1405340901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1405340929) 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 47 ways as a sum of consecutive naturals, for example, 34276588 + ... + 34276628.
Almost surely, 21405340928 is an apocalyptic number.
1405340928 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 1405340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343650400).
1405340928 is an abundant number, since it is smaller than the sum of its proper divisors (3281959872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1405340928 is an equidigital number, since it uses as much as digits as its factorization.
1405340928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 1405340928 is about 37487.8770804643. The cubic root of 1405340928 is about 1120.1097171427.
Adding to 1405340928 its reverse (8290435041), we get a palindrome (9695775969).
The spelling of 1405340928 in words is "one billion, four hundred five million, three hundred forty thousand, nine hundred twenty-eight".
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