Search a number
-
+
424013320 = 235174713267
BaseRepresentation
bin11001010001011…
…110111000001000
31002112212002221001
4121101132320020
51332021411240
6110024024344
713336024303
oct3121367010
91075762831
10424013320
111a8387535
12ba0020b4
1369acb673
1440455b3a
152735889a
hex1945ee08

424013320 has 64 divisors (see below), whose sum is σ = 1031719680. Its totient is φ = 156220416.

The previous prime is 424013297. The next prime is 424013339. The reversal of 424013320 is 23310424.

It is an unprimeable number.

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, 25327 + ... + 38593.

It is an arithmetic number, because the mean of its divisors is an integer number (16120620).

Almost surely, 2424013320 is an apocalyptic number.

424013320 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 424013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515859840).

424013320 is an abundant number, since it is smaller than the sum of its proper divisors (607706360).

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

424013320 is a wasteful number, since it uses less digits than its factorization.

424013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13342 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 424013320 is about 20591.5837176260. The cubic root of 424013320 is about 751.2650176999.

Adding to 424013320 its reverse (23310424), we get a palindrome (447323744).

The spelling of 424013320 in words is "four hundred twenty-four million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1880 3196 3995 6392 7990 13267 15980 26534 31960 53068 66335 106136 132670 225539 265340 451078 530680 623549 902156 1127695 1247098 1804312 2255390 2494196 3117745 4510780 4988392 6235490 9021560 10600333 12470980 21200666 24941960 42401332 53001665 84802664 106003330 212006660 424013320