Search a number
-
+
171045342 = 232132361521
BaseRepresentation
bin10100011000111…
…11000111011110
3102220212000002200
422030133013132
5322241422332
624550032330
74144601316
oct1214370736
9386760080
10171045342
1188606996
12493486a6
132958a080
1418a06446
151003a17c
hexa31f1de

171045342 has 96 divisors (see below), whose sum is σ = 424097856. Its totient is φ = 49420800.

The previous prime is 171045341. The next prime is 171045359. The reversal of 171045342 is 243540171.

171045342 is a `hidden beast` number, since 171 + 0 + 453 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171045341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328042 + ... + 328562.

It is an arithmetic number, because the mean of its divisors is an integer number (4417686).

Almost surely, 2171045342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171045342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212048928).

171045342 is an abundant number, since it is smaller than the sum of its proper divisors (253052514).

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

171045342 is a wasteful number, since it uses less digits than its factorization.

171045342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 171045342 is about 13078.4304104124. The cubic root of 171045342 is about 555.0989645776.

The spelling of 171045342 in words is "one hundred seventy-one million, forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 61 69 78 117 122 138 183 207 234 299 366 414 521 549 598 793 897 1042 1098 1403 1563 1586 1794 2379 2691 2806 3126 4209 4689 4758 5382 6773 7137 8418 9378 11983 12627 13546 14274 18239 20319 23966 25254 31781 35949 36478 40638 54717 60957 63562 71898 95343 107847 109434 121914 155779 164151 190686 215694 286029 311558 328302 413153 467337 572058 730963 826306 934674 1239459 1402011 1461926 2192889 2478918 2804022 3718377 4385778 6578667 7436754 9502519 13157334 19005038 28507557 57015114 85522671 171045342