Search a number
-
+
84378 = 237341
BaseRepresentation
bin10100100110011010
311021202010
4110212122
510200003
61450350
7501000
oct244632
9137663
1084378
1158438
12409b6
132c538
1422a70
151a003
hex1499a

84378 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 23520.

The previous prime is 84377. The next prime is 84389. The reversal of 84378 is 87348.

It is an Ulam number.

84378 is a modest number, since divided by 378 gives 84 as remainder.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (84377) 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, 2038 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

284378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

84378 is an abundant number, since it is smaller than the sum of its proper divisors (117222).

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

84378 is a wasteful number, since it uses less digits than its factorization.

84378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 84378 is about 290.4789148975. The cubic root of 84378 is about 43.8607858924.

Subtracting from 84378 its sum of digits (30), we obtain a palindrome (84348).

The spelling of 84378 in words is "eighty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 343 574 686 861 1029 1722 2009 2058 4018 6027 12054 14063 28126 42189 84378