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290664 = 233211367
BaseRepresentation
bin1000110111101101000
3112202201100
41012331220
533300124
610121400
72320263
oct1067550
9482640
10290664
11189420
12120260
13a23ba
1477cda
155b1c9
hex46f68

290664 has 48 divisors (see below), whose sum is σ = 861120. Its totient is φ = 87840.

The previous prime is 290663. The next prime is 290669. The reversal of 290664 is 466092.

290664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290664.

It is not an unprimeable number, because it can be changed into a prime (290663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (17940).

2290664 is an apocalyptic number.

290664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430560).

290664 is an abundant number, since it is smaller than the sum of its proper divisors (570456).

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

290664 is a wasteful number, since it uses less digits than its factorization.

290664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290664 is about 539.1326367416. The cubic root of 290664 is about 66.2415392067.

The spelling of 290664 in words is "two hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 367 396 734 792 1101 1468 2202 2936 3303 4037 4404 6606 8074 8808 12111 13212 16148 24222 26424 32296 36333 48444 72666 96888 145332 290664