Search a number
-
+
384228012 = 2237231107197
BaseRepresentation
bin10110111001101…
…101101010101100
3222202222210202010
4112321231222230
51241330244022
6102043201220
712343612200
oct2671555254
9882883663
10384228012
11187983213
12a8816210
13617ab76c
143905ab00
1523aea50c
hex16e6daac

384228012 has 144 divisors (see below), whose sum is σ = 1092123648. Its totient is φ = 104711040.

The previous prime is 384227969. The next prime is 384228037. The reversal of 384228012 is 210822483.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1950298 + ... + 1950494.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2384228012 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 384228012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546061824).

384228012 is an abundant number, since it is smaller than the sum of its proper divisors (707895636).

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

384228012 is a wasteful number, since it uses less digits than its factorization.

384228012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 384228012 is about 19601.7349232153. The cubic root of 384228012 is about 726.9920716195.

The spelling of 384228012 in words is "three hundred eighty-four million, two hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 107 124 147 186 196 197 214 217 294 321 372 394 428 434 588 591 642 651 749 788 868 1182 1284 1302 1379 1498 1519 2247 2364 2604 2758 2996 3038 3317 4137 4494 4557 5243 5516 6076 6107 6634 8274 8988 9114 9653 9951 10486 12214 13268 15729 16548 18228 18321 19306 19902 20972 21079 23219 24428 28959 31458 36642 38612 39804 42158 42749 46438 57918 62916 63237 69657 73284 84316 85498 92876 115836 126474 128247 139314 147553 162533 170996 252948 256494 278628 295106 299243 325066 442659 487599 512988 590212 598486 650132 653449 885318 897729 975198 1032871 1196972 1306898 1770636 1795458 1950396 1960347 2065742 2613796 3098613 3590916 3920694 4131484 4574143 6197226 7841388 9148286 12394452 13722429 18296572 27444858 32019001 54889716 64038002 96057003 128076004 192114006 384228012