Search a number
-
+
37341414 = 232111031831
BaseRepresentation
bin1000111001110…
…0100011100110
32121021010210100
42032130203212
534024411124
63412204530
7632253045
oct216344346
977233710
1037341414
111a095180
1210609746
137975716
144d6055c
1534291c9
hex239c8e6

37341414 has 48 divisors (see below), whose sum is σ = 89167104. Its totient is φ = 11199600.

The previous prime is 37341407. The next prime is 37341433. The reversal of 37341414 is 41414373.

37341414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19479 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (1857648).

Almost surely, 237341414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37341414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44583552).

37341414 is an abundant number, since it is smaller than the sum of its proper divisors (51825690).

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

37341414 is a wasteful number, since it uses less digits than its factorization.

37341414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1950 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 37341414 is about 6110.7621455920. The cubic root of 37341414 is about 334.2439741566.

Adding to 37341414 its reverse (41414373), we get a palindrome (78755787).

The spelling of 37341414 in words is "thirty-seven million, three hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1831 1854 2266 3399 3662 5493 6798 10197 10986 16479 20141 20394 32958 40282 60423 120846 181269 188593 362538 377186 565779 1131558 1697337 2074523 3394674 4149046 6223569 12447138 18670707 37341414