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434404344 = 233111819091
BaseRepresentation
bin11001111001000…
…111101111111000
31010021102000201210
4121321013233320
51342201414334
6111034443120
713523242653
oct3171075770
91107360653
10434404344
11203234460
121015934a0
136bcc91ba
144199c89a
152820c5e9
hex19e47bf8

434404344 has 64 divisors (see below), whose sum is σ = 1191415680. Its totient is φ = 130896000.

The previous prime is 434404339. The next prime is 434404367. The reversal of 434404344 is 443404434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43239 + ... + 52329.

It is an arithmetic number, because the mean of its divisors is an integer number (18615870).

Almost surely, 2434404344 is an apocalyptic number.

434404344 is a gapful number since it is divisible by the number (44) 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 434404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595707840).

434404344 is an abundant number, since it is smaller than the sum of its proper divisors (757011336).

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

434404344 is a wasteful number, since it uses less digits than its factorization.

434404344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 434404344 is about 20842.3689632441. The cubic root of 434404344 is about 757.3524822477.

Adding to 434404344 its reverse (443404434), we get a palindrome (877808778).

The spelling of 434404344 in words is "four hundred thirty-four million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 543 724 1086 1448 1991 2172 3982 4344 5973 7964 9091 11946 15928 18182 23892 27273 36364 47784 54546 72728 100001 109092 200002 218184 300003 400004 600006 800008 1200012 1645471 2400024 3290942 4936413 6581884 9872826 13163768 18100181 19745652 36200362 39491304 54300543 72400724 108601086 144801448 217202172 434404344