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434442440 = 23529573673
BaseRepresentation
bin11001111001010…
…001000011001000
31010021110221222202
4121321101003020
51342204124230
6111035335332
713523462015
oct3171210310
91107427882
10434442440
11203260043
121015b1548
136c010643
14419ac70c
1528218a45
hex19e510c8

434442440 has 32 divisors (see below), whose sum is σ = 978092280. Its totient is φ = 173670912.

The previous prime is 434442439. The next prime is 434442443. The reversal of 434442440 is 44244434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 168948004 + 265494436 = 12998^2 + 16294^2 .

It is not an unprimeable number, because it can be changed into a prime (434442443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116444 + ... + 120116.

Almost surely, 2434442440 is an apocalyptic number.

434442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434442440 is an abundant number, since it is smaller than the sum of its proper divisors (543649840).

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

434442440 is a wasteful number, since it uses less digits than its factorization.

434442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

The square root of 434442440 is about 20843.2828508371. The cubic root of 434442440 is about 757.3746208053.

Adding to 434442440 its reverse (44244434), we get a palindrome (478686874).

The spelling of 434442440 in words is "four hundred thirty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2957 3673 5914 7346 11828 14692 14785 18365 23656 29384 29570 36730 59140 73460 118280 146920 10861061 21722122 43444244 54305305 86888488 108610610 217221220 434442440