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3444334443 = 321143899091
BaseRepresentation
bin1100110101001100…
…0101111101101011
322220001010022121100
43031103011331223
524023222200233
61325440012443
7151232234244
oct31523057553
98801108540
103444334443
1115082674a0
12801601123
1342b779524
1424962bccb
151525b3813
hexcd4c5f6b

3444334443 has 48 divisors (see below), whose sum is σ = 5616673920. Its totient is φ = 2015798400.

The previous prime is 3444334427. The next prime is 3444334447.

3444334443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3444334443 - 24 = 3444334427 is a prime.

It is a super-2 number, since 2×34443344432 = 23726879510472240498, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444334398 and 3444334407.

It is not an unprimeable number, because it can be changed into a prime (3444334447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374328 + ... + 383418.

It is an arithmetic number, because the mean of its divisors is an integer number (117014040).

Almost surely, 23444334443 is an apocalyptic number.

3444334443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3444334443 is a deficient number, since it is larger than the sum of its proper divisors (2172339477).

3444334443 is a wasteful number, since it uses less digits than its factorization.

3444334443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9237 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The square root of 3444334443 is about 58688.4523820487. The cubic root of 3444334443 is about 1510.2022217949.

It can be divided in two parts, 34443 and 34443, that added together give a palindrome (68886).

The spelling of 3444334443 in words is "three billion, four hundred forty-four million, three hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 3 9 11 33 43 89 99 129 267 387 473 801 979 1419 2937 3827 4257 8811 9091 11481 27273 34443 42097 81819 100001 126291 300003 378873 390913 809099 900009 1172739 2427297 3518217 4300043 7281891 8900089 12900129 26700267 34791257 38700387 80100801 104373771 313121313 382703827 1148111481 3444334443