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434350532 = 227117917851
BaseRepresentation
bin11001111000111…
…010100111000100
31010021022021220202
4121320322213010
51342143204112
6111033350032
713522630040
oct3170724704
91107267822
10434350532
112031a7a90
12101568318
136bcaa865
1441987020
15281eb6c2
hex19e3a9c4

434350532 has 48 divisors (see below), whose sum is σ = 959723520. Its totient is φ = 167076000.

The previous prime is 434350531. The next prime is 434350589. The reversal of 434350532 is 235053434.

It is a junction number, because it is equal to n+sod(n) for n = 434350495 and 434350504.

It is not an unprimeable number, because it can be changed into a prime (434350531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15407 + ... + 33257.

It is an arithmetic number, because the mean of its divisors is an integer number (19994240).

Almost surely, 2434350532 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 434350532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479861760).

434350532 is an abundant number, since it is smaller than the sum of its proper divisors (525372988).

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

434350532 is a wasteful number, since it uses less digits than its factorization.

434350532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 434350532 is about 20841.0779951518. The cubic root of 434350532 is about 757.3212085160.

The spelling of 434350532 in words is "four hundred thirty-four million, three hundred fifty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1738 2212 3476 6083 12166 17851 24332 35702 71404 124957 196361 249914 392722 499828 785444 1374527 1410229 2749054 2820458 5498108 5640916 9871603 15512519 19743206 31025038 39486412 62050076 108587633 217175266 434350532