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424044240 = 243515111701
BaseRepresentation
bin11001010001100…
…110011011010000
31002112220200100020
4121101212123100
51332023403430
6110024423440
713336213404
oct3121463320
91075820306
10424044240
111a83a8794
12ba017b80
1369b0c769
1440463104
1527362b10
hex194666d0

424044240 has 80 divisors (see below), whose sum is σ = 1323355776. Its totient is φ = 112320000.

The previous prime is 424044233. The next prime is 424044241. The reversal of 424044240 is 42440424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424044240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424044241) 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, 30390 + ... + 42090.

Almost surely, 2424044240 is an apocalyptic number.

424044240 is a gapful number since it is divisible by the number (40) 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 424044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661677888).

424044240 is an abundant number, since it is smaller than the sum of its proper divisors (899311536).

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

424044240 is a wasteful number, since it uses less digits than its factorization.

424044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424044240 is about 20592.3344961177. The cubic root of 424044240 is about 751.2832785647.

Adding to 424044240 its reverse (42440424), we get a palindrome (466484664).

The spelling of 424044240 in words is "four hundred twenty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 4530 6040 7248 9060 11701 12080 18120 23402 35103 36240 46804 58505 70206 93608 117010 140412 175515 187216 234020 280824 351030 468040 561648 702060 936080 1404120 1766851 2808240 3533702 5300553 7067404 8834255 10601106 14134808 17668510 21202212 26502765 28269616 35337020 42404424 53005530 70674040 84808848 106011060 141348080 212022120 424044240