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434103400 = 235210919913
BaseRepresentation
bin11001110111111…
…110010001101000
31010020211201220201
4121313332101220
51342112302100
6111024201544
713520550403
oct3167762150
91106751821
10434103400
11203049345
121014692b4
136bc22223
1441920d3a
152819d36a
hex19dfe468

434103400 has 48 divisors (see below), whose sum is σ = 1018601100. Its totient is φ = 172039680.

The previous prime is 434103377. The next prime is 434103451. The reversal of 434103400 is 4301434.

It can be written as a sum of positive squares in 6 ways, for example, as 74545956 + 359557444 = 8634^2 + 18962^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11844 + ... + 31756.

Almost surely, 2434103400 is an apocalyptic number.

434103400 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 434103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509300550).

434103400 is an abundant number, since it is smaller than the sum of its proper divisors (584497700).

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

434103400 is a wasteful number, since it uses less digits than its factorization.

434103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20038 (or 20029 counting only the distinct ones).

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

The square root of 434103400 is about 20835.1481876180. The cubic root of 434103400 is about 757.1775504963.

Adding to 434103400 its reverse (4301434), we get a palindrome (438404834).

The spelling of 434103400 in words is "four hundred thirty-four million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 19913 21800 39826 79652 99565 159304 199130 398260 497825 796520 995650 1991300 2170517 3982600 4341034 8682068 10852585 17364136 21705170 43410340 54262925 86820680 108525850 217051700 434103400