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290430 = 23257461
BaseRepresentation
bin1000110111001111110
3112202101200
41012321332
533243210
610120330
72316510
oct1067176
9482350
10290430
11189228
121200a6
13a226a
1477bb0
155b0c0
hex46e7e

290430 has 48 divisors (see below), whose sum is σ = 864864. Its totient is φ = 66240.

The previous prime is 290429. The next prime is 290441. The reversal of 290430 is 34092.

290430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2290430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

290430 is an abundant number, since it is smaller than the sum of its proper divisors (574434).

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

290430 is a wasteful number, since it uses less digits than its factorization.

290430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

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

The square root of 290430 is about 538.9155778042. The cubic root of 290430 is about 66.2237584454.

The spelling of 290430 in words is "two hundred ninety thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 461 630 922 1383 2305 2766 3227 4149 4610 6454 6915 8298 9681 13830 16135 19362 20745 29043 32270 41490 48405 58086 96810 145215 290430