Search a number
-
+
388128 = 25313311
BaseRepresentation
bin1011110110000100000
3201201102010
41132300200
544410003
612152520
73204366
oct1366040
9651363
10388128
11245674
12168740
13107880
14a1636
157a003
hex5ec20

388128 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 119040.

The previous prime is 388117. The next prime is 388133. The reversal of 388128 is 821883.

It is a Cunningham number, because it is equal to 6232-1.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 388095 and 388104.

It is an unprimeable number.

388128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2388128 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 388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

388128 is an abundant number, since it is smaller than the sum of its proper divisors (712608).

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

388128 is a wasteful number, since it uses less digits than its factorization.

388128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 388128 is about 622.9991974313. Note that the first 3 decimals coincide. The cubic root of 388128 is about 72.9443499058.

The spelling of 388128 in words is "three hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 311 312 416 622 624 933 1244 1248 1866 2488 3732 4043 4976 7464 8086 9952 12129 14928 16172 24258 29856 32344 48516 64688 97032 129376 194064 388128