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290816361 = 32112267049
BaseRepresentation
bin10001010101011…
…000000101101001
3202021020000001100
4101111120011221
51043422110421
644505112013
710130620053
oct2125300551
9667200040
10290816361
1113a181700
1281488609
13483339b4
142a8a28d3
151a7e7c26
hex11558169

290816361 has 18 divisors (see below), whose sum is σ = 461729450. Its totient is φ = 176251680.

The previous prime is 290816303. The next prime is 290816377. The reversal of 290816361 is 163618092.

290816361 is a `hidden beast` number, since 290 + 8 + 1 + 6 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 279926361 + 10890000 = 16731^2 + 3300^2 .

It is not a de Polignac number, because 290816361 - 27 = 290816233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290816861) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132436 + ... + 134613.

Almost surely, 2290816361 is an apocalyptic number.

It is an amenable number.

290816361 is a deficient number, since it is larger than the sum of its proper divisors (170913089).

290816361 is a wasteful number, since it uses less digits than its factorization.

290816361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267077 (or 267063 counting only the distinct ones).

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

The square root of 290816361 is about 17053.3387053679. The cubic root of 290816361 is about 662.5311140484.

The spelling of 290816361 in words is "two hundred ninety million, eight hundred sixteen thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 267049 801147 2403441 2937539 8812617 26437851 32312929 96938787 290816361