Search a number
-
+
424024240 = 24567239331
BaseRepresentation
bin11001010001100…
…001100010110000
31002112212122220111
4121101201202300
51332022233430
6110024151104
713336101163
oct3121414260
91075778814
10424024240
111a8394762
12ba008494
1369b03623
1440459ada
152735bc2a
hex194618b0

424024240 has 80 divisors (see below), whose sum is σ = 1007792640. Its totient is φ = 165876480.

The previous prime is 424024219. The next prime is 424024241. The reversal of 424024240 is 42420424.

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

It is a super-2 number, since 2×4240242402 = 359593112215155200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (424024241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1280875 + ... + 1281205.

It is an arithmetic number, because the mean of its divisors is an integer number (12597408).

Almost surely, 2424024240 is an apocalyptic number.

424024240 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 424024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503896320).

424024240 is an abundant number, since it is smaller than the sum of its proper divisors (583768400).

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

424024240 is a wasteful number, since it uses less digits than its factorization.

424024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 424024240 is about 20591.8488727943. The cubic root of 424024240 is about 751.2714669813.

Adding to 424024240 its reverse (42420424), we get a palindrome (466444664).

The spelling of 424024240 in words is "four hundred twenty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 239 268 331 335 478 536 662 670 956 1072 1195 1324 1340 1655 1912 2390 2648 2680 3310 3824 4780 5296 5360 6620 9560 13240 16013 19120 22177 26480 32026 44354 64052 79109 80065 88708 110885 128104 158218 160130 177416 221770 256208 316436 320260 354832 395545 443540 632872 640520 791090 887080 1265744 1281040 1582180 1774160 3164360 5300303 6328720 10600606 21201212 26501515 42402424 53003030 84804848 106006060 212012120 424024240