Search a number
-
+
290494836 = 223811069
BaseRepresentation
bin10001010100001…
…001100101110100
3202020121200000000
4101110021211310
51043331313321
644454151300
710125110502
oct2124114564
9666550000
10290494836
11139a82085
1281352530
1348250548
142a81b672
151a782826
hex11509974

290494836 has 54 divisors (see below), whose sum is σ = 762579090. Its totient is φ = 96822864.

The previous prime is 290494829. The next prime is 290494859. The reversal of 290494836 is 638494092.

It can be written as a sum of positive squares in only one way, i.e., 189612900 + 100881936 = 13770^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 290494791 and 290494800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20710 + ... + 31778.

It is an arithmetic number, because the mean of its divisors is an integer number (14121835).

Almost surely, 2290494836 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 290494836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381289545).

290494836 is an abundant number, since it is smaller than the sum of its proper divisors (472084254).

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

290494836 is an equidigital number, since it uses as much as digits as its factorization.

290494836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 290494836 is about 17043.9090586637. The cubic root of 290494836 is about 662.2868604025.

The spelling of 290494836 in words is "two hundred ninety million, four hundred ninety-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 11069 13122 22138 26244 33207 44276 66414 99621 132828 199242 298863 398484 597726 896589 1195452 1793178 2689767 3586356 5379534 8069301 10759068 16138602 24207903 32277204 48415806 72623709 96831612 145247418 290494836