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290304672 = 2537432001
BaseRepresentation
bin10001010011011…
…011001010100000
3202020021000010220
4101103123022200
51043304222142
644450123040
710123356210
oct2123331240
9666230126
10290304672
11139962219
1281280480
13481b4b18
142a7ac240
151a7462ec
hex114db2a0

290304672 has 48 divisors (see below), whose sum is σ = 870916032. Its totient is φ = 82944000.

The previous prime is 290304661. The next prime is 290304709. The reversal of 290304672 is 276403092.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215329 + ... + 216672.

It is an arithmetic number, because the mean of its divisors is an integer number (18144084).

Almost surely, 2290304672 is an apocalyptic number.

It is an amenable number.

290304672 is an abundant number, since it is smaller than the sum of its proper divisors (580611360).

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

290304672 is a wasteful number, since it uses less digits than its factorization.

290304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432021 (or 432013 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 290304672 is about 17038.3294955814. The cubic root of 290304672 is about 662.1423132430.

The spelling of 290304672 in words is "two hundred ninety million, three hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 432001 864002 1296003 1728004 2592006 3024007 3456008 5184012 6048014 6912016 9072021 10368024 12096028 13824032 18144042 20736048 24192056 36288084 41472096 48384112 72576168 96768224 145152336 290304672