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388096 = 210379
BaseRepresentation
bin1011110110000000000
3201201100221
41132300000
544404341
612152424
73204322
oct1366000
9651327
10388096
11245645
12168714
13107857
14a1612
1579ed1
hex5ec00

388096 has 22 divisors (see below), whose sum is σ = 777860. Its totient is φ = 193536.

The previous prime is 388081. The next prime is 388099. The reversal of 388096 is 690883.

388096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (388099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 835 + ... + 1213.

2388096 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 388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388930).

388096 is an abundant number, since it is smaller than the sum of its proper divisors (389764).

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

388096 is an equidigital number, since it uses as much as digits as its factorization.

388096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 388096 is about 622.9735146858. The cubic root of 388096 is about 72.9423451691.

The spelling of 388096 in words is "three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 379 512 758 1024 1516 3032 6064 12128 24256 48512 97024 194048 388096