Search a number
-
+
352100320 = 255112131399
BaseRepresentation
bin10100111111001…
…001111111100000
3220112112112211121
4110333021333200
51210114202240
654534422024
711503542355
oct2477117740
9815475747
10352100320
1117082a200
1299b01914
1357c401b0
1434a9662c
1520da104a
hex14fc9fe0

352100320 has 144 divisors (see below), whose sum is σ = 985370400. Its totient is φ = 118103040.

The previous prime is 352100303. The next prime is 352100321. The reversal of 352100320 is 23001253.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 352100294 and 352100303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352100321) 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, 250981 + ... + 252379.

It is an arithmetic number, because the mean of its divisors is an integer number (6842850).

Almost surely, 2352100320 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 352100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492685200).

352100320 is an abundant number, since it is smaller than the sum of its proper divisors (633270080).

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

352100320 is a wasteful number, since it uses less digits than its factorization.

352100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 352100320 is about 18764.3363858144. The cubic root of 352100320 is about 706.1367373123.

Adding to 352100320 its reverse (23001253), we get a palindrome (375101573).

The spelling of 352100320 in words is "three hundred fifty-two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 121 130 143 160 176 208 220 242 260 286 352 416 440 484 520 572 605 715 880 968 1040 1144 1210 1399 1430 1573 1760 1936 2080 2288 2420 2798 2860 3146 3872 4576 4840 5596 5720 6292 6995 7865 9680 11192 11440 12584 13990 15389 15730 18187 19360 22384 22880 25168 27980 30778 31460 36374 44768 50336 55960 61556 62920 72748 76945 90935 111920 123112 125840 145496 153890 169279 181870 200057 223840 246224 251680 290992 307780 338558 363740 400114 492448 581984 615560 677116 727480 800228 846395 1000285 1231120 1354232 1454960 1600456 1692790 2000570 2200627 2462240 2708464 2909920 3200912 3385580 4001140 4401254 5416928 6401824 6771160 8002280 8802508 11003135 13542320 16004560 17605016 22006270 27084640 32009120 35210032 44012540 70420064 88025080 176050160 352100320