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290640384 = 293263073
BaseRepresentation
bin10001010100101…
…101001000000000
3202020220001122200
4101110231020000
51043400443014
644501233200
710126255026
oct2124551000
9666801580
10290640384
1113a071471
1281402800
13482a1878
142a858716
151a7b0a09
hex1152d200

290640384 has 60 divisors (see below), whose sum is σ = 838821126. Its totient is φ = 96878592.

The previous prime is 290640373. The next prime is 290640391. The reversal of 290640384 is 483046092.

It is a happy number.

290640384 is a `hidden beast` number, since 2 + 9 + 0 + 640 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 290361600 + 278784 = 17040^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26929 + ... + 36144.

Almost surely, 2290640384 is an apocalyptic number.

290640384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290640384 is an abundant number, since it is smaller than the sum of its proper divisors (548180742).

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

290640384 is an equidigital number, since it uses as much as digits as its factorization.

290640384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63097 (or 63078 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 290640384 is about 17048.1783191049. The cubic root of 290640384 is about 662.3974515060.

The spelling of 290640384 in words is "two hundred ninety million, six hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 63073 126146 189219 252292 378438 504584 567657 756876 1009168 1135314 1513752 2018336 2270628 3027504 4036672 4541256 6055008 8073344 9082512 12110016 16146688 18165024 24220032 32293376 36330048 48440064 72660096 96880128 145320192 290640384