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38408320 = 27560013
BaseRepresentation
bin1001001010000…
…1000010000000
32200021100022101
42102201002000
534313031240
63451120144
7644315416
oct222410200
980240271
1038408320
111a753815
1210a43054
137c5a222
14515b2b6
15358a39a
hex24a1080

38408320 has 32 divisors (see below), whose sum is σ = 91821420. Its totient is φ = 15363072.

The previous prime is 38408317. The next prime is 38408327. The reversal of 38408320 is 2380483.

It can be written as a sum of positive squares in 2 ways, for example, as 38241856 + 166464 = 6184^2 + 408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38408327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29367 + ... + 30646.

Almost surely, 238408320 is an apocalyptic number.

It is an amenable number.

38408320 is an abundant number, since it is smaller than the sum of its proper divisors (53413100).

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

38408320 is an equidigital number, since it uses as much as digits as its factorization.

38408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60032 (or 60020 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38408320 is about 6197.4446346861. Note that the first 3 decimals coincide. The cubic root of 38408320 is about 337.3974301937.

The spelling of 38408320 in words is "thirty-eight million, four hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 60013 120026 240052 300065 480104 600130 960208 1200260 1920416 2400520 3840832 4801040 7681664 9602080 19204160 38408320