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3938080 = 255151163
BaseRepresentation
bin1111000001011100100000
321102002000211
433001130200
52002004310
6220223504
745321166
oct17013440
97362024
103938080
11224a813
12139ab94
13a7b633
14747236
1552bc8a
hex3c1720

3938080 has 48 divisors (see below), whose sum is σ = 9422784. Its totient is φ = 1555200.

The previous prime is 3938063. The next prime is 3938087. The reversal of 3938080 is 808393.

It is not an unprimeable number, because it can be changed into a prime (3938087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24079 + ... + 24241.

It is an arithmetic number, because the mean of its divisors is an integer number (196308).

Almost surely, 23938080 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 3938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711392).

3938080 is an abundant number, since it is smaller than the sum of its proper divisors (5484704).

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

3938080 is a wasteful number, since it uses less digits than its factorization.

3938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3938080 is about 1984.4596241798. The cubic root of 3938080 is about 157.9167429757.

The spelling of 3938080 in words is "three million, nine hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 163 302 326 604 652 755 815 1208 1304 1510 1630 2416 2608 3020 3260 4832 5216 6040 6520 12080 13040 24160 24613 26080 49226 98452 123065 196904 246130 393808 492260 787616 984520 1969040 3938080