Search a number
-
+
352160028 = 2233112511181
BaseRepresentation
bin10100111111011…
…000100100011100
3220112122120202000
4110333120210130
51210123110103
654540002300
711504211423
oct2477304434
9815576660
10352160028
11170870050
1299b30390
1357c6141c
1434ab02ba
1520db3aa3
hex14fd891c

352160028 has 96 divisors (see below), whose sum is σ = 1000823040. Its totient is φ = 106200000.

The previous prime is 352160009. The next prime is 352160059. The reversal of 352160028 is 820061253.

352160028 is a `hidden beast` number, since 3 + 52 + 1 + 600 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 352159983 and 352160010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297598 + ... + 298778.

It is an arithmetic number, because the mean of its divisors is an integer number (10425240).

Almost surely, 2352160028 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 352160028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500411520).

352160028 is an abundant number, since it is smaller than the sum of its proper divisors (648663012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352160028 is a wasteful number, since it uses less digits than its factorization.

352160028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 352160028 is about 18765.9273152168. The cubic root of 352160028 is about 706.1766498286.

The spelling of 352160028 in words is "three hundred fifty-two million, one hundred sixty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 251 297 396 502 594 753 1004 1181 1188 1506 2259 2362 2761 3012 3543 4518 4724 5522 6777 7086 8283 9036 10629 11044 12991 13554 14172 16566 21258 24849 25982 27108 31887 33132 38973 42516 49698 51964 63774 74547 77946 99396 116919 127548 149094 155892 233838 296431 298188 350757 467676 592862 701514 889293 1185724 1403028 1778586 2667879 3260741 3557172 5335758 6521482 8003637 9782223 10671516 13042964 16007274 19564446 29346669 32014548 39128892 58693338 88040007 117386676 176080014 352160028