Search a number
-
+
434340500 = 225311157503
BaseRepresentation
bin11001111000111…
…000001010010100
31010021021210011012
4121320320022110
51342142344000
6111033231352
713522555556
oct3170701224
91107253135
10434340500
112031a04a0
12101562558
136bca6119
14419834d6
15281e8735
hex19e38294

434340500 has 96 divisors (see below), whose sum is σ = 1043497728. Its totient is φ = 156624000.

The previous prime is 434340493. The next prime is 434340503. The reversal of 434340500 is 5043434.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434340503) 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 31 ways as a sum of consecutive naturals, for example, 863249 + ... + 863751.

It is an arithmetic number, because the mean of its divisors is an integer number (10869768).

Almost surely, 2434340500 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 434340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521748864).

434340500 is an abundant number, since it is smaller than the sum of its proper divisors (609157228).

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

434340500 is a wasteful number, since it uses less digits than its factorization.

434340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 434340500 is about 20840.8373152328. The cubic root of 434340500 is about 757.3153779680.

Adding to 434340500 its reverse (5043434), we get a palindrome (439383934).

The spelling of 434340500 in words is "four hundred thirty-four million, three hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 157 220 250 275 314 500 503 550 628 785 1006 1100 1375 1570 1727 2012 2515 2750 3140 3454 3925 5030 5500 5533 6908 7850 8635 10060 11066 12575 15700 17270 19625 22132 25150 27665 34540 39250 43175 50300 55330 62875 78500 78971 86350 110660 125750 138325 157942 172700 215875 251500 276650 315884 394855 431750 553300 691625 789710 863500 868681 1383250 1579420 1737362 1974275 2766500 3474724 3948550 4343405 7897100 8686810 9871375 17373620 19742750 21717025 39485500 43434050 86868100 108585125 217170250 434340500