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4143444 = 22317191069
BaseRepresentation
bin1111110011100101010100
321210111201220
433303211110
52030042234
6224450340
750135004
oct17634524
97714656
104143444
112380038
1214799b0
13b20c56
1479c004
1556ca49
hex3f3954

4143444 has 48 divisors (see below), whose sum is σ = 10785600. Its totient is φ = 1230336.

The previous prime is 4143421. The next prime is 4143449. The reversal of 4143444 is 4443414.

4143444 = T152 + T153 + ... + T304.

It is a super-2 number, since 2×41434442 = 34336256362272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 4410.

It is an arithmetic number, because the mean of its divisors is an integer number (224700).

Almost surely, 24143444 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 4143444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392800).

4143444 is an abundant number, since it is smaller than the sum of its proper divisors (6642156).

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

4143444 is a wasteful number, since it uses less digits than its factorization.

4143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4143444 is about 2035.5451358297. The cubic root of 4143444 is about 160.6153904732.

Adding to 4143444 its reverse (4443414), we get a palindrome (8586858).

The spelling of 4143444 in words is "four million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1069 1292 1938 2138 3207 3876 4276 6414 12828 18173 20311 36346 40622 54519 60933 72692 81244 109038 121866 218076 243732 345287 690574 1035861 1381148 2071722 4143444