Search a number
-
+
3320142 = 237223491
BaseRepresentation
bin1100101010100101001110
320020200101020
430222211032
51322221032
6155055010
740135500
oct14524516
96220336
103320142
111968521
121141466
138c32a7
14625d70
15458b2c
hex32a94e

3320142 has 48 divisors (see below), whose sum is σ = 8076672. Its totient is φ = 905520.

The previous prime is 3320137. The next prime is 3320143. The reversal of 3320142 is 2410233.

3320142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33201422 = 22046685800328, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320143) 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 23 ways as a sum of consecutive naturals, for example, 6517 + ... + 7007.

It is an arithmetic number, because the mean of its divisors is an integer number (168264).

Almost surely, 23320142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038336).

3320142 is an abundant number, since it is smaller than the sum of its proper divisors (4756530).

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

3320142 is a wasteful number, since it uses less digits than its factorization.

3320142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3320142 is about 1822.1256817245. The cubic root of 3320142 is about 149.1828453612.

Adding to 3320142 its reverse (2410233), we get a palindrome (5730375).

Subtracting from 3320142 its reverse (2410233), we obtain a palindrome (909909).

The spelling of 3320142 in words is "three million, three hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 491 966 982 1127 1473 2254 2946 3381 3437 6762 6874 10311 11293 20622 22586 24059 33879 48118 67758 72177 79051 144354 158102 237153 474306 553357 1106714 1660071 3320142