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434141532 = 223411181673
BaseRepresentation
bin11001111000000…
…111100101011100
31010020220200020000
4121320013211130
51342120012112
6111025054300
713521066516
oct3170074534
91106820200
10434141532
11203074a60
12101487390
136bc366a6
1441930bb6
15281a97dc
hex19e0795c

434141532 has 120 divisors (see below), whose sum is σ = 1246797552. Its totient is φ = 130636800.

The previous prime is 434141509. The next prime is 434141551. The reversal of 434141532 is 235141434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434141496 and 434141505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644748 + ... + 645420.

Almost surely, 2434141532 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 434141532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623398776).

434141532 is an abundant number, since it is smaller than the sum of its proper divisors (812656020).

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

434141532 is a wasteful number, since it uses less digits than its factorization.

434141532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 870 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 434141532 is about 20836.0632558072. The cubic root of 434141532 is about 757.1997202136.

Adding to 434141532 its reverse (235141434), we get a palindrome (669282966).

The spelling of 434141532 in words is "four hundred thirty-four million, one hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 181 198 297 324 362 396 543 594 673 724 891 1086 1188 1346 1629 1782 1991 2019 2172 2692 3258 3564 3982 4038 4887 5973 6057 6516 7403 7964 8076 9774 11946 12114 14661 14806 17919 18171 19548 22209 23892 24228 29322 29612 35838 36342 44418 53757 54513 58644 66627 71676 72684 88836 107514 109026 121813 133254 161271 199881 215028 218052 243626 266508 322542 365439 399762 487252 599643 645084 730878 799524 1096317 1199286 1339943 1461756 2192634 2398572 2679886 3288951 4019829 4385268 5359772 6577902 8039658 9866853 12059487 13155804 16079316 19733706 24118974 36178461 39467412 48237948 72356922 108535383 144713844 217070766 434141532