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290304 = 29347
BaseRepresentation
bin1000110111000000000
3112202020000
41012320000
533242204
610120000
72316240
oct1067000
9482200
10290304
11189123
12120000
13a21a1
1477b20
155b039
hex46e00

290304 has 100 divisors (see below), whose sum is σ = 990264. Its totient is φ = 82944.

The previous prime is 290249. The next prime is 290317. The reversal of 290304 is 403092.

Adding to 290304 its reverse (403092), we get a palindrome (693396).

It is a Harshad number since it is a multiple of its sum of digits (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 290304.

It is an unprimeable number.

290304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41469 + ... + 41475.

2290304 is an apocalyptic number.

290304 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 290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495132).

290304 is an abundant number, since it is smaller than the sum of its proper divisors (699960).

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

290304 is an frugal number, since it uses more digits than its factorization.

290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290304 is about 538.7986636954. The cubic root of 290304 is about 66.2141802331.

The spelling of 290304 in words is "two hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 512 567 576 648 672 756 768 864 896 1008 1134 1152 1296 1344 1512 1536 1728 1792 2016 2268 2304 2592 2688 3024 3456 3584 4032 4536 4608 5184 5376 6048 6912 8064 9072 10368 10752 12096 13824 16128 18144 20736 24192 32256 36288 41472 48384 72576 96768 145152 290304