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388938 = 23117183
BaseRepresentation
bin1011110111101001010
3201202112010
41132331022
544421223
612200350
73206634
oct1367512
9652463
10388938
11246240
121690b6
13108054
14a1a54
157a393
hex5ef4a

388938 has 32 divisors (see below), whose sum is σ = 870912. Its totient is φ = 114800.

The previous prime is 388937. The next prime is 388961. The reversal of 388938 is 839883.

It is a happy number.

388938 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3889383 = 176507183339129016, which contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 388896 and 388905.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388938.

It is not an unprimeable number, because it can be changed into a prime (388931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4645 + ... + 4727.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2388938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

388938 is an abundant number, since it is smaller than the sum of its proper divisors (481974).

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

388938 is a wasteful number, since it uses less digits than its factorization.

388938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170.

The product of its digits is 41472, while the sum is 39.

The square root of 388938 is about 623.6489397089. The cubic root of 388938 is about 72.9950581505.

It can be divided in two parts, 388 and 938, that added together give a triangular number (1326 = T51).

The spelling of 388938 in words is "three hundred eighty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 71 83 142 166 213 249 426 498 781 913 1562 1826 2343 2739 4686 5478 5893 11786 17679 35358 64823 129646 194469 388938