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3557441344 = 26595031873
BaseRepresentation
bin1101010000001010…
…0011111101000000
3100011220221202002211
43110002203331000
524241201110334
61345000151504
7154104516052
oct32402437500
910156852084
103557441344
1115660a0376
12833468594
1344902baa2
1425a6718d2
1515c4a6a64
hexd40a3f40

3557441344 has 56 divisors (see below), whose sum is σ = 7197059520. Its totient is φ = 1744164864.

The previous prime is 3557441333. The next prime is 3557441351. The reversal of 3557441344 is 4431447553.

It is a junction number, because it is equal to n+sod(n) for n = 3557441297 and 3557441306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1898392 + ... + 1900264.

It is an arithmetic number, because the mean of its divisors is an integer number (128518920).

Almost surely, 23557441344 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 3557441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598529760).

3557441344 is an abundant number, since it is smaller than the sum of its proper divisors (3639618176).

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

3557441344 is a wasteful number, since it uses less digits than its factorization.

3557441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2437 counting only the distinct ones).

The product of its digits is 403200, while the sum is 40.

The square root of 3557441344 is about 59644.2901206813. The cubic root of 3557441344 is about 1526.5554451581. Note that the first 3 decimals are identical.

Adding to 3557441344 its reverse (4431447553), we get a palindrome (7988888897).

The spelling of 3557441344 in words is "three billion, five hundred fifty-seven million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 503 944 1006 1873 1888 2012 3746 3776 4024 7492 8048 14984 16096 29677 29968 32192 59354 59936 110507 118708 119872 221014 237416 442028 474832 884056 942119 949664 1768112 1884238 1899328 3536224 3768476 7072448 7536952 15073904 30147808 55585021 60295616 111170042 222340084 444680168 889360336 1778720672 3557441344