Search a number
-
+
403424420 = 225741671049
BaseRepresentation
bin11000000010111…
…100010010100100
31001010010002021012
4120002330102210
51311234040140
6104010441352
712666023330
oct3002742244
91033102235
10403424420
111977a4813
12b3133258
1365770199
143b8167c0
152563d265
hex180bc4a4

403424420 has 96 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 132802560.

The previous prime is 403424389. The next prime is 403424443. The reversal of 403424420 is 24424304.

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 31 ways as a sum of consecutive naturals, for example, 384056 + ... + 385104.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2403424420 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 403424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

403424420 is an abundant number, since it is smaller than the sum of its proper divisors (604172380).

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

403424420 is a wasteful number, since it uses less digits than its factorization.

403424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 403424420 is about 20085.4280512017. The cubic root of 403424420 is about 738.9029397730.

Adding to 403424420 its reverse (24424304), we get a palindrome (427848724).

The spelling of 403424420 in words is "four hundred three million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 67 70 82 134 140 164 205 268 287 335 410 469 574 670 820 938 1049 1148 1340 1435 1876 2098 2345 2747 2870 4196 4690 5245 5494 5740 7343 9380 10490 10988 13735 14686 19229 20980 27470 29372 36715 38458 43009 54940 70283 73430 76916 86018 96145 140566 146860 172036 192290 215045 281132 301063 351415 384580 430090 491981 602126 702830 860180 983962 1204252 1405660 1505315 1967924 2459905 2881603 3010630 4919810 5763206 6021260 9839620 11526412 14408015 20171221 28816030 40342442 57632060 80684884 100856105 201712210 403424420