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290878352 = 2429221617
BaseRepresentation
bin10001010101100…
…111001110010000
3202021100011002022
4101111213032100
51043431101402
644510311012
710131265562
oct2125471620
9667304068
10290878352
1113a214236
12814b8468
1348355c8b
142a8bb332
151a80b2a2
hex11567390

290878352 has 30 divisors (see below), whose sum is σ = 583707618. Its totient is φ = 140417536.

The previous prime is 290878351. The next prime is 290878369. The reversal of 290878352 is 253878092.

It can be written as a sum of positive squares in 3 ways, for example, as 16777216 + 274101136 = 4096^2 + 16556^2 .

It is a super-2 number, since 2×2908783522 = 169220431324471808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290878351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2648 + ... + 24264.

Almost surely, 2290878352 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 290878352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291853809).

290878352 is an abundant number, since it is smaller than the sum of its proper divisors (292829266).

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

290878352 is a wasteful number, since it uses less digits than its factorization.

290878352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21683 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 290878352 is about 17055.1561704958. The cubic root of 290878352 is about 662.5781861918.

The spelling of 290878352 in words is "two hundred ninety million, eight hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 21617 43234 86468 172936 345872 626893 1253786 2507572 5015144 10030288 18179897 36359794 72719588 145439176 290878352