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3244436325 = 3252135212129
BaseRepresentation
bin1100000101100010…
…0010101101100101
322101002222102221100
43001120202231211
523121033430300
61253535310313
7143254153014
oct30130425545
98332872840
103244436325
111415444039
1276667b399
133c9229710
1422ac74a7b
1513ec79700
hexc1622b65

3244436325 has 72 divisors (see below), whose sum is σ = 6273114120. Its totient is φ = 1593446400.

The previous prime is 3244436323. The next prime is 3244436357. The reversal of 3244436325 is 5236344423.

3244436325 is a `hidden beast` number, since 324 + 4 + 4 + 3 + 6 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2205147681 + 1039288644 = 46959^2 + 32238^2 .

It is not a de Polignac number, because 3244436325 - 21 = 3244436323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3244436325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244436323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1522861 + ... + 1524989.

It is an arithmetic number, because the mean of its divisors is an integer number (87126585).

Almost surely, 23244436325 is an apocalyptic number.

It is an amenable number.

3244436325 is a deficient number, since it is larger than the sum of its proper divisors (3028677795).

3244436325 is a wasteful number, since it uses less digits than its factorization.

3244436325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2671 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 3244436325 is about 56959.9536955570. The cubic root of 3244436325 is about 1480.4023019136.

It can be divided in two parts, 3244 and 436325, that added together give a square (439569 = 6632).

The spelling of 3244436325 in words is "three billion, two hundred forty-four million, four hundred thirty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 521 585 975 1563 2129 2605 2925 4689 6387 6773 7815 10645 13025 19161 20319 23445 27677 31935 33865 39075 53225 60957 83031 95805 101595 117225 138385 159675 169325 249093 304785 415155 479025 507975 691925 1109209 1245465 1523925 2075775 3327627 5546045 6227325 9982881 14419717 16638135 27730225 43259151 49914405 72098585 83190675 129777453 216295755 249572025 360492925 648887265 1081478775 3244436325