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290352393 = 32594631181
BaseRepresentation
bin10001010011100…
…110110100001001
3202020100102121100
4101103212310021
51043312234033
644451132013
710123645302
oct2123466411
9666312540
10290352393
11139995061
12812a4009
1348200766
142a7c17a9
151a755513
hex114e6d09

290352393 has 24 divisors (see below), whose sum is σ = 427789440. Its totient is φ = 189715680.

The previous prime is 290352289. The next prime is 290352409. The reversal of 290352393 is 393253092.

It is not a de Polignac number, because 290352393 - 224 = 273575177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (290352493) 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 23 ways as a sum of consecutive naturals, for example, 245263 + ... + 246443.

It is an arithmetic number, because the mean of its divisors is an integer number (17824560).

Almost surely, 2290352393 is an apocalyptic number.

It is an amenable number.

290352393 is a deficient number, since it is larger than the sum of its proper divisors (137437047).

290352393 is a wasteful number, since it uses less digits than its factorization.

290352393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 290352393 is about 17039.7298394077. The cubic root of 290352393 is about 662.1785927855.

It can be divided in two parts, 2903523 and 93, that added together give a square (2903616 = 17042).

The spelling of 290352393 in words is "two hundred ninety million, three hundred fifty-two thousand, three hundred ninety-three".

Divisors: 1 3 9 59 177 463 531 1181 1389 3543 4167 10629 27317 69679 81951 209037 245853 546803 627111 1640409 4921227 32261377 96784131 290352393