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290694141 = 32416411229
BaseRepresentation
bin10001010100111…
…010001111111101
3202020222210101200
4101110322033331
51043404203031
644502330113
710126600533
oct2124721775
9666883350
10290694141
1113a0a88a1
1281429939
13482c018a
142a870153
151a7c18e6
hex1153a3fd

290694141 has 24 divisors (see below), whose sum is σ = 431154360. Its totient is φ = 188620800.

The previous prime is 290694127. The next prime is 290694179. The reversal of 290694141 is 141496092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 115025625 + 175668516 = 10725^2 + 13254^2 .

It is not a de Polignac number, because 290694141 - 26 = 290694077 is a prime.

It is a super-2 number, since 2×2906941412 = 169006167223455762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 290694096 and 290694105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290694181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235915 + ... + 237143.

It is an arithmetic number, because the mean of its divisors is an integer number (17964765).

Almost surely, 2290694141 is an apocalyptic number.

It is an amenable number.

290694141 is a deficient number, since it is larger than the sum of its proper divisors (140460219).

290694141 is a wasteful number, since it uses less digits than its factorization.

290694141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 290694141 is about 17049.7548662730. The cubic root of 290694141 is about 662.4382881167.

It can be divided in two parts, 290 and 694141, that added together give a triangular number (694431 = T1178).

The spelling of 290694141 in words is "two hundred ninety million, six hundred ninety-four thousand, one hundred forty-one".

Divisors: 1 3 9 41 123 369 641 1229 1923 3687 5769 11061 26281 50389 78843 151167 236529 453501 787789 2363367 7090101 32299349 96898047 290694141