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3144443232 = 25375979309
BaseRepresentation
bin1011101101101100…
…0110010101100000
322010010211021012110
42323123012111200
522414434140412
61240004155320
7140631216660
oct27333062540
98103737173
103144443232
111373a57817
12739098b40
133b15b90c8
1421b8861a0
151360c6d3c
hexbb6c6560

3144443232 has 96 divisors (see below), whose sum is σ = 9593337600. Its totient is φ = 883173888.

The previous prime is 3144443221. The next prime is 3144443251. The reversal of 3144443232 is 2323444413.

It is a happy number.

3144443232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3144443232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 79302.

It is an arithmetic number, because the mean of its divisors is an integer number (99930600).

Almost surely, 23144443232 is an apocalyptic number.

3144443232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796668800).

3144443232 is an abundant number, since it is smaller than the sum of its proper divisors (6448894368).

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

3144443232 is a wasteful number, since it uses less digits than its factorization.

3144443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79388 (or 79380 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3144443232 is about 56075.3353266835. The cubic root of 3144443232 is about 1465.0347279059.

Adding to 3144443232 its reverse (2323444413), we get a palindrome (5467887645).

The spelling of 3144443232 in words is "three billion, one hundred forty-four million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 39648 79309 158618 237927 317236 475854 555163 634472 951708 1110326 1268944 1665489 1903416 2220652 2537888 3330978 3806832 4441304 4679231 6661956 7613664 8882608 9358462 13323912 14037693 17765216 18716924 26647824 28075386 32754617 37433848 53295648 56150772 65509234 74867696 98263851 112301544 131018468 149735392 196527702 224603088 262036936 393055404 449206176 524073872 786110808 1048147744 1572221616 3144443232