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1325334320 = 24531217239
BaseRepresentation
bin100111011111110…
…1111111100110000
310102100211221220022
41032333233330300
510203241144240
6335302303012
744562104312
oct11677577460
93370757808
101325334320
11620131322
1230ba27a68
131817683bb
14c80377b2
157b5469b5
hex4efeff30

1325334320 has 60 divisors (see below), whose sum is σ = 3184193520. Its totient is φ = 513002880.

The previous prime is 1325334299. The next prime is 1325334323. The reversal of 1325334320 is 234335231.

It is a happy number.

It is a super-2 number, since 2×13253343202 = 3513022119539724800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1325334320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325334323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68261 + ... + 85499.

It is an arithmetic number, because the mean of its divisors is an integer number (53069892).

Almost surely, 21325334320 is an apocalyptic number.

1325334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592096760).

1325334320 is an abundant number, since it is smaller than the sum of its proper divisors (1858859200).

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

1325334320 is a wasteful number, since it uses less digits than its factorization.

1325334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17314 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 1325334320 is about 36405.1413951381. The cubic root of 1325334320 is about 1098.4369867449.

Adding to 1325334320 its reverse (234335231), we get a palindrome (1559669551).

The spelling of 1325334320 in words is "one billion, three hundred twenty-five million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4805 7688 9610 15376 17239 19220 34478 38440 68956 76880 86195 137912 172390 275824 344780 534409 689560 1068818 1379120 2137636 2672045 4275272 5344090 8550544 10688180 16566679 21376360 33133358 42752720 66266716 82833395 132533432 165666790 265066864 331333580 662667160 1325334320