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31441024 = 271714449
BaseRepresentation
bin111011111110…
…0000010000000
32012011100222101
41313330002000
531022103044
63041520144
7531146536
oct167740200
965140871
1031441024
111682511a
12a643054
13668ab74
144266156
152b60cd4
hex1dfc080

31441024 has 32 divisors (see below), whose sum is σ = 66325500. Its totient is φ = 14794752.

The previous prime is 31440961. The next prime is 31441043. The reversal of 31441024 is 42014413.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 6760000 = 4968^2 + 2600^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 31440992 and 31441010.

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 3 ways as a sum of consecutive naturals, for example, 5049 + ... + 9400.

Almost surely, 231441024 is an apocalyptic number.

31441024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31441024 is an abundant number, since it is smaller than the sum of its proper divisors (34884476).

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

31441024 is a wasteful number, since it uses less digits than its factorization.

31441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 31441024 is about 5607.2296189830. The cubic root of 31441024 is about 315.6207595940.

Adding to 31441024 its reverse (42014413), we get a palindrome (73455437).

The spelling of 31441024 in words is "thirty-one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 14449 28898 57796 115592 231184 245633 462368 491266 924736 982532 1849472 1965064 3930128 7860256 15720512 31441024