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3441444048 = 243272487733
BaseRepresentation
bin1100110100100000…
…0100010011010000
322212211200110201200
43031020010103100
524022002202143
61325254031200
7151165535400
oct31510042320
98784613650
103441444048
111506672939
12800648500
1342aca6a33
142490b8800
151521e21d3
hexcd2044d0

3441444048 has 90 divisors (see below), whose sum is σ = 11203737714. Its totient is φ = 983267712.

The previous prime is 3441444031. The next prime is 3441444049. The reversal of 3441444048 is 8404441443.

It can be written as a sum of positive squares in only one way, i.e., 3437711424 + 3732624 = 58632^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441444049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 236811 + ... + 250922.

Almost surely, 23441444048 is an apocalyptic number.

It is an amenable number.

3441444048 is an abundant number, since it is smaller than the sum of its proper divisors (7762293666).

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

3441444048 is a wasteful number, since it uses less digits than its factorization.

3441444048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487761 (or 487745 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 3441444048 is about 58663.8223098359. The cubic root of 3441444048 is about 1509.7796628929.

The spelling of 3441444048 in words is "three billion, four hundred forty-one million, four hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 487733 975466 1463199 1950932 2926398 3414131 3901864 4389597 5852796 6828262 7803728 8779194 10242393 11705592 13656524 17558388 20484786 23411184 23898917 27313048 30727179 35116776 40969572 47797834 54626096 61454358 70233552 71696751 81939144 95595668 122908716 143393502 163878288 191191336 215090253 245817432 286787004 382382672 430180506 491634864 573574008 860361012 1147148016 1720722024 3441444048