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441000340 = 2251189101223
BaseRepresentation
bin11010010010010…
…010000110010100
31010201211010201221
4122102102012110
51400344002330
6111432100124
713633304164
oct3222220624
91121733657
10441000340
11206a2a0a0
12103834644
1370498561
14427d85a4
1528ab1b7a
hex1a492194

441000340 has 96 divisors (see below), whose sum is σ = 1036385280. Its totient is φ = 156288000.

The previous prime is 441000337. The next prime is 441000377. The reversal of 441000340 is 43000144.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1977469 + ... + 1977691.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2441000340 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 441000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

441000340 is an abundant number, since it is smaller than the sum of its proper divisors (595384940).

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

441000340 is a wasteful number, since it uses less digits than its factorization.

441000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 441000340 is about 21000.0080952365. The cubic root of 441000340 is about 761.1664567154.

Adding to 441000340 its reverse (43000144), we get a palindrome (484000484).

The spelling of 441000340 in words is "four hundred forty-one million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 89 101 110 178 202 220 223 356 404 445 446 505 890 892 979 1010 1111 1115 1780 1958 2020 2222 2230 2453 3916 4444 4460 4895 4906 5555 8989 9790 9812 11110 12265 17978 19580 19847 22220 22523 24530 35956 39694 44945 45046 49060 79388 89890 90092 98879 99235 112615 179780 197758 198470 218317 225230 247753 395516 396940 436634 450460 494395 495506 873268 988790 991012 1091585 1238765 1977580 2004547 2183170 2477530 4009094 4366340 4955060 8018188 10022735 20045470 22050017 40090940 44100034 88200068 110250085 220500170 441000340