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290243888 = 24111998287
BaseRepresentation
bin10001010011001…
…100010100110000
3202020010220202122
4101103030110300
51043300301023
644444533412
710123014044
oct2123142460
9666126678
10290243888
11139920590
1281251268
134819325c
142a794024
151a7332c8
hex114cc530

290243888 has 40 divisors (see below), whose sum is σ = 616627200. Its totient is φ = 131250240.

The previous prime is 290243887. The next prime is 290243893. The reversal of 290243888 is 888342092.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (290243881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30881 + ... + 39167.

It is an arithmetic number, because the mean of its divisors is an integer number (15415680).

Almost surely, 2290243888 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 290243888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313600).

290243888 is an abundant number, since it is smaller than the sum of its proper divisors (326383312).

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

290243888 is a wasteful number, since it uses less digits than its factorization.

290243888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 290243888 is about 17036.5456592585. The cubic root of 290243888 is about 662.0960968921.

The spelling of 290243888 in words is "two hundred ninety million, two hundred forty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 4378 8287 8756 16574 17512 33148 35024 66296 91157 132592 182314 364628 729256 1458512 1649113 3298226 6596452 13192904 18140243 26385808 36280486 72560972 145121944 290243888