Search a number
-
+
641214 = 23272727
BaseRepresentation
bin10011100100010111110
31012120120200
42130202332
5131004324
621424330
75310300
oct2344276
91176520
10641214
113a8832
1226b0a6
13195b22
14129970
15c9ec9
hex9c8be

641214 has 36 divisors (see below), whose sum is σ = 1618344. Its totient is φ = 182952.

The previous prime is 641213. The next prime is 641227. The reversal of 641214 is 412146.

641214 is a `hidden beast` number, since 641 + 21 + 4 = 666.

It is a super-2 number, since 2×6412142 = 822310787592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 641214.

It is not an unprimeable number, because it can be changed into a prime (641213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 519 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (44954).

2641214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809172).

641214 is an abundant number, since it is smaller than the sum of its proper divisors (977130).

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

641214 is a wasteful number, since it uses less digits than its factorization.

641214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 739 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 641214 is about 800.7583905274. The cubic root of 641214 is about 86.2318424285.

The spelling of 641214 in words is "six hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 727 882 1454 2181 4362 5089 6543 10178 13086 15267 30534 35623 45801 71246 91602 106869 213738 320607 641214