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3243282960 = 243542132099
BaseRepresentation
bin1100000101010000…
…1001001000010000
322101000210211211010
43001110021020100
523120240023320
61253454450520
7143241310311
oct30124111020
98330724733
103243282960
111414826545
12766203a40
133c8c14758
1422aa54608
1513eaecae0
hexc1509210

3243282960 has 80 divisors (see below), whose sum is σ = 10078372800. Its totient is φ = 862794240.

The previous prime is 3243282907. The next prime is 3243282997. The reversal of 3243282960 is 692823423.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84991 + ... + 117089.

It is an arithmetic number, because the mean of its divisors is an integer number (125979660).

Almost surely, 23243282960 is an apocalyptic number.

3243282960 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 3243282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039186400).

3243282960 is an abundant number, since it is smaller than the sum of its proper divisors (6835089840).

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

3243282960 is a wasteful number, since it uses less digits than its factorization.

3243282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32536 (or 32530 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3243282960 is about 56949.8284457469. The cubic root of 3243282960 is about 1480.2268583341.

The spelling of 3243282960 in words is "three billion, two hundred forty-three million, two hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25260 32099 33680 50520 64198 96297 101040 128396 160495 192594 256792 320990 385188 481485 513584 641980 770376 962970 1283960 1540752 1925940 2567920 3851880 7703760 13513679 27027358 40541037 54054716 67568395 81082074 108109432 135136790 162164148 202705185 216218864 270273580 324328296 405410370 540547160 648656592 810820740 1081094320 1621641480 3243282960