Search a number
-
+
384144228 = 223313419653
BaseRepresentation
bin10110111001011…
…001001101100100
3222202211112211000
4112321121031210
51241320103403
6102041313300
712343113006
oct2671311544
9882745730
10384144228
11187926276
12a8795830
136177c5a0
1439038376
1523ad07a3
hex16e59364

384144228 has 96 divisors (see below), whose sum is σ = 1076745600. Its totient is φ = 117735552.

The previous prime is 384144217. The next prime is 384144253. The reversal of 384144228 is 822441483.

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 = 384144192 and 384144201.

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, 587950 + ... + 588602.

It is an arithmetic number, because the mean of its divisors is an integer number (11216100).

Almost surely, 2384144228 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 384144228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538372800).

384144228 is an abundant number, since it is smaller than the sum of its proper divisors (692601372).

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

384144228 is a wasteful number, since it uses less digits than its factorization.

384144228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 384144228 is about 19599.5976489315. The cubic root of 384144228 is about 726.9392256273.

The spelling of 384144228 in words is "three hundred eighty-four million, one hundred forty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 419 468 653 702 838 1257 1306 1404 1676 1959 2514 2612 3771 3918 5028 5447 5877 7542 7836 8489 10894 11313 11754 15084 16341 16978 17631 21788 22626 23508 25467 32682 33956 35262 45252 49023 50934 65364 70524 76401 98046 101868 147069 152802 196092 229203 273607 294138 305604 458406 547214 588276 820821 916812 1094428 1641642 2462463 3283284 3556891 4924926 7113782 7387389 9849852 10670673 14227564 14774778 21341346 29549556 32012019 42682692 64024038 96036057 128048076 192072114 384144228