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441795354 = 2371113174327
BaseRepresentation
bin11010010101010…
…100001100011010
31010210022112021220
4122111110030122
51401044422404
6111501112510
713643125050
oct3225241432
91123275256
10441795354
11207422430
12103b58736
13706b6390
14429641d0
1528bbc4d9
hex1a55431a

441795354 has 128 divisors (see below), whose sum is σ = 1256435712. Its totient is φ = 99671040.

The previous prime is 441795349. The next prime is 441795383. The reversal of 441795354 is 453597144.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 99939 + ... + 104265.

It is an arithmetic number, because the mean of its divisors is an integer number (9815904).

Almost surely, 2441795354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441795354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628217856).

441795354 is an abundant number, since it is smaller than the sum of its proper divisors (814640358).

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

441795354 is a wasteful number, since it uses less digits than its factorization.

441795354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380.

The product of its digits is 302400, while the sum is 42.

The square root of 441795354 is about 21018.9284693583. The cubic root of 441795354 is about 761.6235801085.

The spelling of 441795354 in words is "four hundred forty-one million, seven hundred ninety-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4327 4641 4862 6006 7293 7854 8654 9282 12981 14586 17017 25962 30289 34034 47597 51051 56251 60578 73559 90867 95194 102102 112502 142791 147118 168753 181734 220677 285582 333179 337506 393757 441354 514913 618761 666358 787514 809149 956267 999537 1029826 1181271 1237522 1544739 1618298 1856283 1912534 1999074 2362542 2427447 2868801 3089478 3712566 4331327 4854894 5664043 5737602 6693869 8662654 10518937 11328086 12993981 13387738 16992129 20081607 21037874 25987962 31556811 33984258 40163214 63113622 73632559 147265118 220897677 441795354