Search a number
-
+
3243000112 = 2411101241757
BaseRepresentation
bin1100000101001100…
…0100000100110000
322101000021110211021
43001103010010300
523120202000422
61253444425224
7143236021552
oct30123040460
98330243737
103243000112
111414652a90
127660a8214
133c8b45aa1
1422a9bd4d2
1513ea93dc7
hexc14c4130

3243000112 has 80 divisors (see below), whose sum is σ = 6960295584. Its totient is φ = 1451520000.

The previous prime is 3243000097. The next prime is 3243000113. The reversal of 3243000112 is 2110003423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3243000113) 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, 4283638 + ... + 4284394.

Almost surely, 23243000112 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 3243000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480147792).

3243000112 is an abundant number, since it is smaller than the sum of its proper divisors (3717295472).

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

3243000112 is a wasteful number, since it uses less digits than its factorization.

3243000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3243000112 is about 56947.3450829799. The cubic root of 3243000112 is about 1480.1838266917.

Adding to 3243000112 its reverse (2110003423), we get a palindrome (5353003535).

The spelling of 3243000112 in words is "three billion, two hundred forty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 241 404 482 757 808 964 1111 1514 1616 1928 2222 2651 3028 3856 4444 5302 6056 8327 8888 10604 12112 16654 17776 21208 24341 33308 42416 48682 66616 76457 97364 133232 152914 182437 194728 267751 305828 364874 389456 535502 611656 729748 841027 1071004 1223312 1459496 1682054 2006807 2142008 2918992 3364108 4013614 4284016 6728216 8027228 13456432 16054456 18426137 32108912 36852274 73704548 147409096 202687507 294818192 405375014 810750028 1621500056 3243000112