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290484680 = 2357262117
BaseRepresentation
bin10001010100000…
…111000111001000
3202020121011001212
4101110013013020
51043331002210
644454032252
710125036053
oct2124070710
9666534055
10290484680
11139a75492
1281348688
1348248a35
142a817a9a
151a77e805
hex115071c8

290484680 has 16 divisors (see below), whose sum is σ = 653590620. Its totient is φ = 116193856.

The previous prime is 290484647. The next prime is 290484683. The reversal of 290484680 is 86484092.

290484680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 289612324 + 872356 = 17018^2 + 934^2 .

It is not an unprimeable number, because it can be changed into a prime (290484683) 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 3 ways as a sum of consecutive naturals, for example, 3631019 + ... + 3631098.

Almost surely, 2290484680 is an apocalyptic number.

290484680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290484680 is an abundant number, since it is smaller than the sum of its proper divisors (363105940).

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

290484680 is a wasteful number, since it uses less digits than its factorization.

290484680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262128 (or 7262124 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 290484680 is about 17043.6111197129. The cubic root of 290484680 is about 662.2791422346.

The spelling of 290484680 in words is "two hundred ninety million, four hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 7262117 14524234 29048468 36310585 58096936 72621170 145242340 290484680