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434116340 = 225728310957
BaseRepresentation
bin11001111000000…
…001011011110100
31010020212101122222
4121320001123310
51342113210330
6111024341512
713520633210
oct3170013364
91106771588
10434116340
11203058039
12101474898
136bc28098
1441925940
15281a20e5
hex19e016f4

434116340 has 48 divisors (see below), whose sum is σ = 1045656192. Its totient is φ = 148300416.

The previous prime is 434116337. The next prime is 434116357. The reversal of 434116340 is 43611434.

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, 34142 + ... + 45098.

It is an arithmetic number, because the mean of its divisors is an integer number (21784504).

Almost surely, 2434116340 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 434116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522828096).

434116340 is an abundant number, since it is smaller than the sum of its proper divisors (611539852).

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

434116340 is a wasteful number, since it uses less digits than its factorization.

434116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 434116340 is about 20835.4587182524. The cubic root of 434116340 is about 757.1850738806.

Adding to 434116340 its reverse (43611434), we get a palindrome (477727774).

The spelling of 434116340 in words is "four hundred thirty-four million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1981 2830 3962 5660 7924 9905 10957 19810 21914 39620 43828 54785 76699 109570 153398 219140 306796 383495 766990 1533980 3100831 6201662 12403324 15504155 21705817 31008310 43411634 62016620 86823268 108529085 217058170 434116340