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3243136 = 27131949
BaseRepresentation
bin1100010111110010000000
320002202202011
430113302000
51312240021
6153302304
736365131
oct14276200
96082664
103243136
111915686
121104994
13897220
14605c88
15440de1
hex317c80

3243136 has 32 divisors (see below), whose sum is σ = 6961500. Its totient is φ = 1496064.

The previous prime is 3243133. The next prime is 3243143. The reversal of 3243136 is 6313423.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 3136 = 1800^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×32431363 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3243131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690 + ... + 2638.

Almost surely, 23243136 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 3243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480750).

3243136 is an abundant number, since it is smaller than the sum of its proper divisors (3718364).

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

3243136 is a wasteful number, since it uses less digits than its factorization.

3243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1964 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 3243136 is about 1800.8709004257. The cubic root of 3243136 is about 148.0204500595.

Adding to 3243136 its reverse (6313423), we get a palindrome (9556559).

It can be divided in two parts, 324 and 3136, that multiplied together give a square (1016064 = 10082).

The spelling of 3243136 in words is "three million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1949 3898 7796 15592 25337 31184 50674 62368 101348 124736 202696 249472 405392 810784 1621568 3243136