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290440 = 23553137
BaseRepresentation
bin1000110111010001000
3112202102001
41012322020
533243230
610120344
72316523
oct1067210
9482361
10290440
11189237
121200b4
13a2277
1477bba
155b0ca
hex46e88

290440 has 32 divisors (see below), whose sum is σ = 670680. Its totient is φ = 113152.

The previous prime is 290429. The next prime is 290441. The reversal of 290440 is 44092.

290440 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 4 ways, for example, as 264196 + 26244 = 514^2 + 162^2 .

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 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 2188.

2290440 is an apocalyptic number.

290440 is a gapful number since it is divisible by the number (20) 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 290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335340).

290440 is an abundant number, since it is smaller than the sum of its proper divisors (380240).

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

290440 is a wasteful number, since it uses less digits than its factorization.

290440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 290440 is about 538.9248556153. The cubic root of 290440 is about 66.2245185023.

The spelling of 290440 in words is "two hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 137 212 265 274 424 530 548 685 1060 1096 1370 2120 2740 5480 7261 14522 29044 36305 58088 72610 145220 290440