Search a number
-
+
383688 = 2332732
BaseRepresentation
bin1011101101011001000
3201111022200
41131223020
544234223
612120200
73155424
oct1355310
9644280
10383688
112422a8
12166060
13105846
149db84
1578a43
hex5dac8

383688 has 36 divisors (see below), whose sum is σ = 1053585. Its totient is φ = 126144.

The previous prime is 383683. The next prime is 383693. The reversal of 383688 is 886383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

383688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (383683) and next prime (383693).

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 1764 = 618^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=438.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (383681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5220 + ... + 5292.

2383688 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 383688

383688 is an abundant number, since it is smaller than the sum of its proper divisors (669897).

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

383688 is a wasteful number, since it uses less digits than its factorization.

383688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 78 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 383688 is about 619.4255403194. The cubic root of 383688 is about 72.6651329063.

The spelling of 383688 in words is "three hundred eighty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 5329 10658 15987 21316 31974 42632 47961 63948 95922 127896 191844 383688