Search a number
-
+
384869412 = 2232371132557
BaseRepresentation
bin10110111100001…
…010010000100100
3222211012101120200
4112330022100210
51242011310122
6102105030500
712352223154
oct2674122044
9884171520
10384869412
111882810a4
12a8a85430
13619746a5
1439186764
1523bc55ac
hex16f0a424

384869412 has 72 divisors (see below), whose sum is σ = 1008394296. Its totient is φ = 123669504.

The previous prime is 384869389. The next prime is 384869413. The reversal of 384869412 is 214968483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 359709156 = 5016^2 + 18966^2 .

It is not an unprimeable number, because it can be changed into a prime (384869413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149238 + ... + 151794.

Almost surely, 2384869412 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 384869412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504197148).

384869412 is an abundant number, since it is smaller than the sum of its proper divisors (623524884).

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

384869412 is a wasteful number, since it uses less digits than its factorization.

384869412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2712 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 384869412 is about 19618.0888977494. The cubic root of 384869412 is about 727.3963745129.

The spelling of 384869412 in words is "three hundred eighty-four million, eight hundred sixty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 2034 2557 4068 4181 5114 7671 8362 10228 12543 15342 16724 23013 25086 30684 37629 46026 50172 75258 92052 94609 150516 189218 283827 288941 378436 567654 577882 851481 866823 1135308 1155764 1702962 1733646 2600469 3405924 3467292 5200938 10401876 10690817 21381634 32072451 42763268 64144902 96217353 128289804 192434706 384869412