Search a number
-
+
1320345624 = 233132367887
BaseRepresentation
bin100111010110010…
…1110000000011000
310102000110111200210
41032230232000120
510201002024444
6335003331120
744501516103
oct11654560030
93360414623
101320345624
11618334234
1230a220aa0
1318070c800
14c74d973a
157adad7b9
hex4eb2e018

1320345624 has 96 divisors (see below), whose sum is σ = 3588088320. Its totient is φ = 404696448.

The previous prime is 1320345623. The next prime is 1320345641. The reversal of 1320345624 is 4265430231.

It is a junction number, because it is equal to n+sod(n) for n = 1320345591 and 1320345600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320345623) by changing a digit.

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, 1488109 + ... + 1488995.

It is an arithmetic number, because the mean of its divisors is an integer number (37375920).

Almost surely, 21320345624 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 1320345624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794044160).

1320345624 is an abundant number, since it is smaller than the sum of its proper divisors (2267742696).

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

1320345624 is a wasteful number, since it uses less digits than its factorization.

1320345624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1320345624 is about 36336.5604316094. The cubic root of 1320345624 is about 1097.0570435851.

Adding to 1320345624 its reverse (4265430231), we get a palindrome (5585775855).

The spelling of 1320345624 in words is "one billion, three hundred twenty million, three hundred forty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 367 507 676 734 887 1014 1101 1352 1468 1774 2028 2202 2661 2936 3548 4056 4404 4771 5322 7096 8808 9542 10644 11531 14313 19084 21288 23062 28626 34593 38168 46124 57252 62023 69186 92248 114504 124046 138372 149903 186069 248092 276744 299806 325529 372138 449709 496184 599612 651058 744276 899418 976587 1199224 1302116 1488552 1798836 1953174 2604232 3597672 3906348 4231877 7812696 8463754 12695631 16927508 25391262 33855016 50782524 55014401 101565048 110028802 165043203 220057604 330086406 440115208 660172812 1320345624