Search a number
-
+
141384 = 23343137
BaseRepresentation
bin100010100001001000
321011221110
4202201020
514011014
63010320
71126125
oct424110
9234843
10141384
1197251
12699a0
134c479
143974c
152bd59
hex22848

141384 has 32 divisors (see below), whose sum is σ = 364320. Its totient is φ = 45696.

The previous prime is 141371. The next prime is 141397. The reversal of 141384 is 483141.

It is an interprime number because it is at equal distance from previous prime (141371) and next prime (141397).

It is a super-3 number, since 3×1413843 = 8478559027533312, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (11385).

141384 is a Friedman number, since it can be written as 411*43*8, using all its digits and the basic arithmetic operations.

2141384 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 141384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182160).

141384 is an abundant number, since it is smaller than the sum of its proper divisors (222936).

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

141384 is a wasteful number, since it uses less digits than its factorization.

141384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 141384 is about 376.0106381474. The cubic root of 141384 is about 52.0954853067.

It can be divided in two parts, 141 and 384, that added together give a palindrome (525).

The spelling of 141384 in words is "one hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 172 258 274 344 411 516 548 822 1032 1096 1644 3288 5891 11782 17673 23564 35346 47128 70692 141384