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290394 = 232131773
BaseRepresentation
bin1000110111001011010
3112202100100
41012321122
533243034
610120230
72316426
oct1067132
9482310
10290394
111891a5
12120076
13a2240
1477b86
155b099
hex46e5a

290394 has 48 divisors (see below), whose sum is σ = 727272. Its totient is φ = 82944.

The previous prime is 290393. The next prime is 290399. The reversal of 290394 is 493092.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 45369 = 495^2 + 213^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290394.

It is not an unprimeable number, because it can be changed into a prime (290393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942 + ... + 4014.

2290394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363636).

290394 is an abundant number, since it is smaller than the sum of its proper divisors (436878).

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

290394 is a wasteful number, since it uses less digits than its factorization.

290394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 290394 is about 538.8821763614. The cubic root of 290394 is about 66.2210220960.

The spelling of 290394 in words is "two hundred ninety thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 73 78 102 117 146 153 219 221 234 306 438 442 657 663 949 1241 1314 1326 1898 1989 2482 2847 3723 3978 5694 7446 8541 11169 16133 17082 22338 32266 48399 96798 145197 290394