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434102440 = 23512498689
BaseRepresentation
bin11001110111111…
…110000010101000
31010020211200121011
4121313332002220
51342112234230
6111024153304
713520544532
oct3167760250
91106750534
10434102440
11203048652
12101468834
136bc21965
1441920852
152819ce2a
hex19dfe0a8

434102440 has 32 divisors (see below), whose sum is σ = 977625000. Its totient is φ = 173481984.

The previous prime is 434102423. The next prime is 434102453. The reversal of 434102440 is 44201434.

It can be written as a sum of positive squares in 4 ways, for example, as 401361156 + 32741284 = 20034^2 + 5722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45616 + ... + 54304.

Almost surely, 2434102440 is an apocalyptic number.

434102440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434102440 is an abundant number, since it is smaller than the sum of its proper divisors (543522560).

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

434102440 is a wasteful number, since it uses less digits than its factorization.

434102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9949 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 434102440 is about 20835.1251496121. The cubic root of 434102440 is about 757.1769923412.

Adding to 434102440 its reverse (44201434), we get a palindrome (478303874).

The spelling of 434102440 in words is "four hundred thirty-four million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1249 2498 4996 6245 8689 9992 12490 17378 24980 34756 43445 49960 69512 86890 173780 347560 10852561 21705122 43410244 54262805 86820488 108525610 217051220 434102440