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290444 = 227112341
BaseRepresentation
bin1000110111010001100
3112202102012
41012322030
533243234
610120352
72316530
oct1067214
9482365
10290444
11189240
121200b8
13a227b
1477bc0
155b0ce
hex46e8c

290444 has 48 divisors (see below), whose sum is σ = 677376. Its totient is φ = 105600.

The previous prime is 290443. The next prime is 290447. The reversal of 290444 is 444092.

It is a happy number.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7064 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2290444 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 290444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

290444 is an abundant number, since it is smaller than the sum of its proper divisors (386932).

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

290444 is a wasteful number, since it uses less digits than its factorization.

290444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 290444 is about 538.9285666951. The cubic root of 290444 is about 66.2248225202.

The spelling of 290444 in words is "two hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 41 44 46 77 82 92 154 161 164 253 287 308 322 451 506 574 644 902 943 1012 1148 1771 1804 1886 3157 3542 3772 6314 6601 7084 10373 12628 13202 20746 26404 41492 72611 145222 290444