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290160384 = 283675639
BaseRepresentation
bin10001010010110…
…111111100000000
3202012222200012220
4101102313330000
51043240113014
644443051040
710122215433
oct2122677400
9665880186
10290160384
11139873878
1281210a80
1348164247
142a77181a
151a7186a9
hex114b7f00

290160384 has 72 divisors (see below), whose sum is σ = 783914880. Its totient is φ = 95259648.

The previous prime is 290160379. The next prime is 290160389. The reversal of 290160384 is 483061092.

It is an interprime number because it is at equal distance from previous prime (290160379) and next prime (290160389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290160389) 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 7 ways as a sum of consecutive naturals, for example, 48637 + ... + 54275.

Almost surely, 2290160384 is an apocalyptic number.

290160384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391957440).

290160384 is an abundant number, since it is smaller than the sum of its proper divisors (493754496).

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

290160384 is an equidigital number, since it uses as much as digits as its factorization.

290160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 290160384 is about 17034.0947514096. The cubic root of 290160384 is about 662.0325951524.

The spelling of 290160384 in words is "two hundred ninety million, one hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 5639 6432 8576 11278 12864 16917 17152 22556 25728 33834 45112 51456 67668 90224 135336 180448 270672 360896 377813 541344 721792 755626 1082688 1133439 1443584 1511252 2165376 2266878 3022504 4330752 4533756 6045008 9067512 12090016 18135024 24180032 36270048 48360064 72540096 96720128 145080192 290160384