| Base | Representation |
|---|---|
| bin | 10100111111000… |
| … | …101001110111100 |
| 3 | 220112111120002200 |
| 4 | 110333011032330 |
| 5 | 1210113041303 |
| 6 | 54534151500 |
| 7 | 11503431501 |
| oct | 2477051674 |
| 9 | 815446080 |
| 10 | 352080828 |
| 11 | 1708165a0 |
| 12 | 99ab2590 |
| 13 | 57c34368 |
| 14 | 34a8d4a8 |
| 15 | 20d9a3a3 |
| hex | 14fc53bc |
352080828 has 72 divisors (see below), whose sum is σ = 976510080. Its totient is φ = 106073760.
The previous prime is 352080823. The next prime is 352080853. The reversal of 352080828 is 828080253.
352080828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 352080792 and 352080801.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (352080823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68401 + ... + 73367.
It is an arithmetic number, because the mean of its divisors is an integer number (13562640).
Almost surely, 2352080828 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 352080828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488255040).
352080828 is an abundant number, since it is smaller than the sum of its proper divisors (624429252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
352080828 is a wasteful number, since it uses less digits than its factorization.
352080828 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5167 (or 5162 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 352080828 is about 18763.8169890883. The cubic root of 352080828 is about 706.1237066782.
It can be divided in two parts, 3520 and 80828, that added together give a palindrome (84348).
The spelling of 352080828 in words is "three hundred fifty-two million, eighty thousand, eight hundred twenty-eight".
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