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290690208 = 253617733
BaseRepresentation
bin10001010100111…
…001010010100000
3202020222121000000
4101110321102200
51043404041313
644502300000
710126553214
oct2124712240
9666877000
10290690208
1113a0a5946
1281427600
13482bb453
142a86c944
151a7c0673
hex115394a0

290690208 has 168 divisors, whose sum is σ = 909765108. Its totient is φ = 91072512.

The previous prime is 290690207. The next prime is 290690219. The reversal of 290690208 is 802096092.

It can be written as a sum of positive squares in 2 ways, for example, as 231891984 + 58798224 = 15228^2 + 7668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290690207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 396210 + ... + 396942.

Almost surely, 2290690208 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 290690208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454882554).

290690208 is an abundant number, since it is smaller than the sum of its proper divisors (619074900).

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

290690208 is an equidigital number, since it uses as much as digits as its factorization.

290690208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

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

The square root of 290690208 is about 17049.6395269812. The cubic root of 290690208 is about 662.4353005762.

The spelling of 290690208 in words is "two hundred ninety million, six hundred ninety thousand, two hundred eight".