Search a number
-
+
671322168 = 233411531777
BaseRepresentation
bin101000000000111…
…001000000111000
31201210012200220000
4220000321000320
52333324302133
6150340433000
722431100326
oct5000710070
91653180800
10671322168
11314a42310
121689a8760
13a910b16a
1465230d16
153de0a413
hex28039038

671322168 has 160 divisors (see below), whose sum is σ = 2091141360. Its totient is φ = 199480320.

The previous prime is 671322167. The next prime is 671322181. The reversal of 671322168 is 861223176.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671322167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376896 + ... + 378672.

Almost surely, 2671322168 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 671322168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045570680).

671322168 is an abundant number, since it is smaller than the sum of its proper divisors (1419819192).

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

671322168 is a wasteful number, since it uses less digits than its factorization.

671322168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1846 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 671322168 is about 25909.8855265707. The cubic root of 671322168 is about 875.6092270955.

The spelling of 671322168 in words is "six hundred seventy-one million, three hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 81 88 99 106 108 132 159 162 198 212 216 264 297 318 324 396 424 477 583 594 636 648 792 891 954 1166 1188 1272 1431 1749 1777 1782 1908 2332 2376 2862 3498 3554 3564 3816 4293 4664 5247 5331 5724 6996 7108 7128 8586 10494 10662 11448 13992 14216 15741 15993 17172 19547 20988 21324 31482 31986 34344 39094 41976 42648 47223 47979 58641 62964 63972 78188 94181 94446 95958 117282 125928 127944 143937 156376 175923 188362 188892 191916 234564 282543 287874 351846 376724 377784 383832 469128 527769 565086 575748 703692 753448 847629 1035991 1055538 1130172 1151496 1407384 1583307 1695258 2071982 2111076 2260344 2542887 3107973 3166614 3390516 4143964 4222152 5085774 6215946 6333228 6781032 7628661 8287928 9323919 10171548 12431892 12666456 15257322 18647838 20343096 24863784 27971757 30514644 37295676 55943514 61029288 74591352 83915271 111887028 167830542 223774056 335661084 671322168