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3244130000 = 2454536121
BaseRepresentation
bin1100000101011101…
…0111111011010000
322101002101212201222
43001113113323100
523120444130000
61253524544212
7143251435646
oct30127277320
98332355658
103244130000
111415254981
12766552068
133c9150167
1422abd5196
1513ec18a85
hexc15d7ed0

3244130000 has 100 divisors (see below), whose sum is σ = 8003866068. Its totient is φ = 1272960000.

The previous prime is 3244129951. The next prime is 3244130003. The reversal of 3244130000 is 314423.

It can be written as a sum of positive squares in 10 ways, for example, as 2761712704 + 482417296 = 52552^2 + 21964^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3244130003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 526940 + ... + 533060.

Almost surely, 23244130000 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 3244130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001933034).

3244130000 is an abundant number, since it is smaller than the sum of its proper divisors (4759736068).

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

3244130000 is an equidigital number, since it uses as much as digits as its factorization.

3244130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3244130000 is about 56957.2646815136. The cubic root of 3244130000 is about 1480.3557094846.

Adding to 3244130000 its reverse (314423), we get a palindrome (3244444423).

The spelling of 3244130000 in words is "three billion, two hundred forty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 4240 5000 5300 6121 6625 10000 10600 12242 13250 21200 24484 26500 30605 33125 48968 53000 61210 66250 97936 106000 122420 132500 153025 244840 265000 306050 324413 489680 530000 612100 648826 765125 1224200 1297652 1530250 1622065 2448400 2595304 3060500 3244130 3825625 5190608 6121000 6488260 7651250 8110325 12242000 12976520 15302500 16220650 25953040 30605000 32441300 40551625 61210000 64882600 81103250 129765200 162206500 202758125 324413000 405516250 648826000 811032500 1622065000 3244130000