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290383032384 = 2632224532
BaseRepresentation
bin1000011100111000010…
…11010111000001000000
31000202112021220110021100
410032130023113001000
514224201024014014
6341222232054400
726656651023024
oct4163413270100
91022467813240
10290383032384
11102172719185
1248340834400
13214c95c1923
14100a9c08384
157848262009
hex439c2d7040

290383032384 has 63 divisors (see below), whose sum is σ = 832367603613. Its totient is φ = 96790033152.

The previous prime is 290383032347. The next prime is 290383032403. The reversal of 290383032384 is 483230383092.

The square root of 290383032384 is 538872.

It is a perfect power (a square), and thus also a powerful number.

290383032384 is a `hidden beast` number, since 290 + 3 + 8 + 30 + 323 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30821313600 + 259561718784 = 175560^2 + 509472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12921702 + ... + 12944154.

Almost surely, 2290383032384 is an apocalyptic number.

290383032384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

290383032384 is the 538872-nd square number.

It is an amenable number.

290383032384 is an abundant number, since it is smaller than the sum of its proper divisors (541984571229).

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

290383032384 is an frugal number, since it uses more digits than its factorization.

290383032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44924 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 290383032384 in words is "two hundred ninety billion, three hundred eighty-three million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22453 44906 67359 89812 134718 179624 202077 269436 359248 404154 538872 718496 808308 1077744 1436992 1616616 2155488 3233232 4310976 6466464 12932928 504137209 1008274418 1512411627 2016548836 3024823254 4033097672 4537234881 6049646508 8066195344 9074469762 12099293016 16132390688 18148939524 24198586032 32264781376 36297879048 48397172064 72595758096 96794344128 145191516192 290383032384