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161341164 = 223237592053
BaseRepresentation
bin10011001110111…
…01111011101100
3102020120222110200
421213131323230
5312300404124
624002033500
73666243255
oct1147357354
9366528420
10161341164
1183089006
1246048890
132757005a
14175dbb2c
15e26ebc9
hex99ddeec

161341164 has 72 divisors (see below), whose sum is σ = 426163920. Its totient is φ = 51414912.

The previous prime is 161341153. The next prime is 161341183. The reversal of 161341164 is 461143161.

161341164 is a `hidden beast` number, since 1 + 613 + 41 + 1 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77562 + ... + 79614.

Almost surely, 2161341164 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 161341164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213081960).

161341164 is an abundant number, since it is smaller than the sum of its proper divisors (264822756).

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

161341164 is a wasteful number, since it uses less digits than its factorization.

161341164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2154 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 161341164 is about 12702.0141709888. The cubic root of 161341164 is about 544.3961710111.

The spelling of 161341164 in words is "one hundred sixty-one million, three hundred forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1332 2053 2124 2183 4106 4366 6159 6549 8212 8732 12318 13098 18477 19647 24636 26196 36954 39294 73908 75961 78588 121127 151922 227883 242254 303844 363381 455766 484508 683649 726762 911532 1090143 1367298 1453524 2180286 2734596 4360572 4481699 8963398 13445097 17926796 26890194 40335291 53780388 80670582 161341164