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434103222 = 23719228631
BaseRepresentation
bin11001110111111…
…110001110110110
31010020211201200010
4121313332032312
51342112300342
6111024201050
713520550030
oct3167761666
91106751603
10434103222
112030491a3
12101469186
136bc22117
1441920c50
152819d29c
hex19dfe3b6

434103222 has 48 divisors (see below), whose sum is σ = 1047244032. Its totient is φ = 117497520.

The previous prime is 434103221. The next prime is 434103253. The reversal of 434103222 is 222301434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434103221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847 + ... + 29477.

It is an arithmetic number, because the mean of its divisors is an integer number (21817584).

Almost surely, 2434103222 is an apocalyptic number.

434103222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523622016).

434103222 is an abundant number, since it is smaller than the sum of its proper divisors (613140810).

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

434103222 is a wasteful number, since it uses less digits than its factorization.

434103222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434103222 is about 20835.1439159896. The cubic root of 434103222 is about 757.1774470051.

Adding to 434103222 its reverse (222301434), we get a palindrome (656404656).

The spelling of 434103222 in words is "four hundred thirty-four million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 1083 2166 2527 5054 7581 15162 28631 57262 85893 171786 200417 400834 543989 601251 1087978 1202502 1631967 3263934 3807923 7615846 10335791 11423769 20671582 22847538 31007373 62014746 72350537 144701074 217051611 434103222