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290217393 = 32414571721
BaseRepresentation
bin10001010011000…
…101110110110001
3202020002120102100
4101103011312301
51043243424033
644444211013
710122543564
oct2123056661
9666076370
10290217393
11139902694
1281239a69
134818418b
142a7884db
151a72a513
hex114c5db1

290217393 has 24 divisors (see below), whose sum is σ = 430617096. Its totient is φ = 188236800.

The previous prime is 290217377. The next prime is 290217397. The reversal of 290217393 is 393712092.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 237683889 = 7248^2 + 15417^2 .

It is not a de Polignac number, because 290217393 - 24 = 290217377 is a prime.

It is a super-3 number, since 3×2902173933 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (290217397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167773 + ... + 169493.

It is an arithmetic number, because the mean of its divisors is an integer number (17942379).

Almost surely, 2290217393 is an apocalyptic number.

It is an amenable number.

290217393 is a deficient number, since it is larger than the sum of its proper divisors (140399703).

290217393 is a wasteful number, since it uses less digits than its factorization.

290217393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 290217393 is about 17035.7680484327. The cubic root of 290217393 is about 662.0759497324.

The spelling of 290217393 in words is "two hundred ninety million, two hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 9 41 123 369 457 1371 1721 4113 5163 15489 18737 56211 70561 168633 211683 635049 786497 2359491 7078473 32246377 96739131 290217393