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290924032 = 29781173
BaseRepresentation
bin10001010101110…
…010011000000000
3202021102110202011
4101111302120000
51043434032112
644511302304
710131546010
oct2125623000
9667373664
10290924032
1113a245593
128151a994
13483709c9
142a8cdc40
151a819aa7
hex11572600

290924032 has 40 divisors (see below), whose sum is σ = 664328016. Its totient is φ = 124680192.

The previous prime is 290923981. The next prime is 290924041. The reversal of 290924032 is 230429092.

290924032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 290923985 and 290924003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37003 + ... + 44170.

Almost surely, 2290924032 is an apocalyptic number.

It is an amenable number.

290924032 is an abundant number, since it is smaller than the sum of its proper divisors (373403984).

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

290924032 is an frugal number, since it uses more digits than its factorization.

290924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81198 (or 81182 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 290924032 is about 17056.4953023767. The cubic root of 290924032 is about 662.6128684878.

It can be divided in two parts, 29092 and 4032, that added together give a square (33124 = 1822).

The spelling of 290924032 in words is "two hundred ninety million, nine hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 81173 162346 324692 568211 649384 1136422 1298768 2272844 2597536 4545688 5195072 9091376 10390144 18182752 20780288 36365504 41560576 72731008 145462016 290924032