Search a number
-
+
434431024 = 24313792311
BaseRepresentation
bin11001111001001…
…110010000110000
31010021110101022221
4121321032100300
51342203243044
6111035210424
713523413516
oct3171162060
91107411287
10434431024
11203252505
121015a6a14
136c0083a1
14419a84b6
1528215484
hex19e4e430

434431024 has 40 divisors (see below), whose sum is σ = 871531520. Its totient is φ = 209563200.

The previous prime is 434431007. The next prime is 434431043. The reversal of 434431024 is 420134434.

It is a super-2 number, since 2×4344310242 = 377460629227377152, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434431024.

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 7 ways as a sum of consecutive naturals, for example, 186829 + ... + 189139.

It is an arithmetic number, because the mean of its divisors is an integer number (21788288).

Almost surely, 2434431024 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 434431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435765760).

434431024 is an abundant number, since it is smaller than the sum of its proper divisors (437100496).

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

434431024 is a wasteful number, since it uses less digits than its factorization.

434431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 434431024 is about 20843.0089958240. The cubic root of 434431024 is about 757.3679868122.

Adding to 434431024 its reverse (420134434), we get a palindrome (854565458).

The spelling of 434431024 in words is "four hundred thirty-four million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 379 496 758 1516 2311 3032 4622 6064 9244 11749 18488 23498 36976 46996 71641 93992 143282 187984 286564 573128 875869 1146256 1751738 3503476 7006952 14013904 27151939 54303878 108607756 217215512 434431024