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3443245540 = 225710122411
BaseRepresentation
bin1100110100111011…
…1100000111100100
322212222001222220121
43031032330013210
524022432324130
61325400411324
7151220050510
oct31516740744
98788058817
103443245540
111507693379
12801176b44
1342b4879c7
14249427140
1515244ad7a
hexcd3bc1e4

3443245540 has 72 divisors (see below), whose sum is σ = 8349880896. Its totient is φ = 1168368000.

The previous prime is 3443245483. The next prime is 3443245577. The reversal of 3443245540 is 455423443.

It is a junction number, because it is equal to n+sod(n) for n = 3443245496 and 3443245505.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1426935 + ... + 1429345.

It is an arithmetic number, because the mean of its divisors is an integer number (115970568).

Almost surely, 23443245540 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 3443245540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174940448).

3443245540 is an abundant number, since it is smaller than the sum of its proper divisors (4906635356).

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

3443245540 is a wasteful number, since it uses less digits than its factorization.

3443245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The square root of 3443245540 is about 58679.1746704059. The cubic root of 3443245540 is about 1510.0430582871.

Adding to 3443245540 its reverse (455423443), we get a palindrome (3898668983).

The spelling of 3443245540 in words is "three billion, four hundred forty-three million, two hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2411 2828 3535 4822 7070 9644 10201 12055 14140 16877 20402 24110 33754 40804 48220 51005 67508 71407 84385 102010 142814 168770 204020 243511 285628 337540 357035 487022 714070 974044 1217555 1428140 1704577 2435110 3409154 4870220 6818308 8522885 17045770 24594611 34091540 49189222 98378444 122973055 172162277 245946110 344324554 491892220 688649108 860811385 1721622770 3443245540