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3243045000 = 233541316631
BaseRepresentation
bin1100000101001100…
…1111000010001000
322101000100202101210
43001103033002020
523120204420000
61253445413120
7143236266456
oct30123170210
98330322353
103243045000
111414683788
1276610a1a0
133c8b60350
1422a9d19d6
1513eaa2350
hexc14cf088

3243045000 has 160 divisors (see below), whose sum is σ = 10911257280. Its totient is φ = 798240000.

The previous prime is 3243044983. The next prime is 3243045017. The reversal of 3243045000 is 5403423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3243044983) and next prime (3243045017).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186685 + ... + 203315.

It is an arithmetic number, because the mean of its divisors is an integer number (68195358).

Almost surely, 23243045000 is an apocalyptic number.

3243045000 is a gapful number since it is divisible by the number (30) 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 3243045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455628640).

3243045000 is an abundant number, since it is smaller than the sum of its proper divisors (7668212280).

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

3243045000 is a wasteful number, since it uses less digits than its factorization.

3243045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16673 (or 16654 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3243045000 is about 56947.7392000771. The cubic root of 3243045000 is about 1480.1906559837.

Adding to 3243045000 its reverse (5403423), we get a palindrome (3248448423).

The spelling of 3243045000 in words is "three billion, two hundred forty-three million, forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 780 975 1000 1250 1300 1500 1560 1625 1875 1950 2500 2600 3000 3250 3750 3900 4875 5000 6500 7500 7800 8125 9750 13000 15000 16250 16631 19500 24375 32500 33262 39000 48750 49893 65000 66524 83155 97500 99786 133048 166310 195000 199572 216203 249465 332620 399144 415775 432406 498930 648609 665240 831550 864812 997860 1081015 1247325 1297218 1663100 1729624 1995720 2078875 2162030 2494650 2594436 3243045 3326200 4157750 4324060 4989300 5188872 5405075 6236625 6486090 8315500 8648120 9978600 10394375 10810150 12473250 12972180 16215225 16631000 20788750 21620300 24946500 25944360 27025375 31183125 32430450 41577500 43240600 49893000 54050750 62366250 64860900 81076125 83155000 108101500 124732500 129721800 135126875 162152250 216203000 249465000 270253750 324304500 405380625 540507500 648609000 810761250 1081015000 1621522500 3243045000