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290164 = 22743241
BaseRepresentation
bin1000110110101110100
3112202000211
41012311310
533241124
610115204
72315650
oct1066564
9482024
10290164
11189006
1211bb04
13a20c4
1477a60
155ae94
hex46d74

290164 has 24 divisors (see below), whose sum is σ = 596288. Its totient is φ = 120960.

The previous prime is 290161. The next prime is 290183. The reversal of 290164 is 461092.

290164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1324.

2290164 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 290164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298144).

290164 is an abundant number, since it is smaller than the sum of its proper divisors (306124).

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

290164 is a wasteful number, since it uses less digits than its factorization.

290164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 290164 is about 538.6687293690. The cubic root of 290164 is about 66.2035345241.

It can be divided in two parts, 290 and 164, that added together give a palindrome (454).

The spelling of 290164 in words is "two hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 86 172 241 301 482 602 964 1204 1687 3374 6748 10363 20726 41452 72541 145082 290164