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2290304 = 2729617
BaseRepresentation
bin1000101111001010000000
311022100201002
420233022000
51041242204
6121031132
725316162
oct10571200
94270632
102290304
111324815
129254a8
13622613
14438932
1530391e
hex22f280

2290304 has 32 divisors (see below), whose sum is σ = 4727700. Its totient is φ = 1103872.

The previous prime is 2290283. The next prime is 2290339. The reversal of 2290304 is 4030922.

It can be written as a sum of positive squares in 2 ways, for example, as 2096704 + 193600 = 1448^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 3404 + ... + 4020.

22290304 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 2290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363850).

2290304 is an abundant number, since it is smaller than the sum of its proper divisors (2437396).

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

2290304 is an equidigital number, since it uses as much as digits as its factorization.

2290304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2290304 is about 1513.3750361361. The cubic root of 2290304 is about 131.8148613584.

The spelling of 2290304 in words is "two million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 617 928 1234 1856 2468 3712 4936 9872 17893 19744 35786 39488 71572 78976 143144 286288 572576 1145152 2290304