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3441544020 = 22325111717117
BaseRepresentation
bin1100110100100001…
…1100101101010100
322212211212112212100
43031020130231110
524022013402040
61325300122100
7151166433015
oct31510345524
98784775770
103441544020
111506730a62
12800696330
1342b0103a5
1424910300c
15152211b30
hexcd21cb54

3441544020 has 72 divisors (see below), whose sum is σ = 10449306504. Its totient is φ = 916869888.

The previous prime is 3441544003. The next prime is 3441544061. The reversal of 3441544020 is 204451443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 385886736 + 3055657284 = 19644^2 + 55278^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192502 + ... + 209618.

It is an arithmetic number, because the mean of its divisors is an integer number (145129257).

Almost surely, 23441544020 is an apocalyptic number.

3441544020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441544020 is an abundant number, since it is smaller than the sum of its proper divisors (7007762484).

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

3441544020 is a wasteful number, since it uses less digits than its factorization.

3441544020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18244 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3441544020 is about 58664.6743790503. The cubic root of 3441544020 is about 1509.7942821660.

Adding to 3441544020 its reverse (204451443), we get a palindrome (3645995463).

The spelling of 3441544020 in words is "three billion, four hundred forty-one million, five hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1117 2234 3351 4468 5585 6702 10053 11170 13404 16755 17117 20106 22340 33510 34234 40212 50265 51351 67020 68468 85585 100530 102702 154053 171170 201060 205404 256755 308106 342340 513510 616212 770265 1027020 1540530 3081060 19119689 38239378 57359067 76478756 95598445 114718134 172077201 191196890 229436268 286795335 344154402 382393780 573590670 688308804 860386005 1147181340 1720772010 3441544020