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3321242544 = 243377126339
BaseRepresentation
bin1100010111110110…
…0010001110110000
322120110111121021010
43011331202032300
523300214230134
61305321430520
7145206044604
oct30575421660
98513447233
103321242544
111454833754
1278833b440
1340c10c199
14237149504
1514689bce9
hexc5f623b0

3321242544 has 80 divisors (see below), whose sum is σ = 8936213760. Its totient is φ = 1061948160.

The previous prime is 3321242543. The next prime is 3321242599. The reversal of 3321242544 is 4452421233.

3321242544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33212425442 = 22061304072151183872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321242543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112927 + ... + 139265.

It is an arithmetic number, because the mean of its divisors is an integer number (111702672).

Almost surely, 23321242544 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 3321242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468106880).

3321242544 is an abundant number, since it is smaller than the sum of its proper divisors (5614971216).

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

3321242544 is a wasteful number, since it uses less digits than its factorization.

3321242544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26458 (or 26452 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 3321242544 is about 57630.2224878579. Note that the first 3 decimals coincide. The cubic root of 3321242544 is about 1491.9932700044.

Adding to 3321242544 its reverse (4452421233), we get a palindrome (7773663777).

Subtracting 3321242544 from its reverse (4452421233), we obtain a square (1131178689 = 336332).

The spelling of 3321242544 in words is "three billion, three hundred twenty-one million, two hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 213 222 284 296 426 444 568 592 852 888 1136 1704 1776 2627 3408 5254 7881 10508 15762 21016 26339 31524 42032 52678 63048 79017 105356 126096 158034 210712 316068 421424 632136 974543 1264272 1870069 1949086 2923629 3740138 3898172 5610207 5847258 7480276 7796344 11220414 11694516 14960552 15592688 22440828 23389032 29921104 44881656 46778064 69192553 89763312 138385106 207577659 276770212 415155318 553540424 830310636 1107080848 1660621272 3321242544