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290484 = 22328069
BaseRepresentation
bin1000110111010110100
3112202110200
41012322310
533243414
610120500
72316615
oct1067264
9482420
10290484
11189277
12120130
13a22ac
1477c0c
155b109
hex46eb4

290484 has 18 divisors (see below), whose sum is σ = 734370. Its totient is φ = 96816.

The previous prime is 290473. The next prime is 290489. The reversal of 290484 is 484092.

290484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 138384 = 390^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290484.

It is not an unprimeable number, because it can be changed into a prime (290489) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3999 + ... + 4070.

2290484 is an apocalyptic number.

It is an amenable number.

290484 is an abundant number, since it is smaller than the sum of its proper divisors (443886).

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

290484 is a wasteful number, since it uses less digits than its factorization.

290484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 290484 is about 538.9656760871. The cubic root of 290484 is about 66.2278625454.

The spelling of 290484 in words is "two hundred ninety thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8069 16138 24207 32276 48414 72621 96828 145242 290484