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434200243240 = 23512298832389
BaseRepresentation
bin1100101000110000101…
…10011110110000101000
31112111202011100201220101
412110120112132300220
524103220230240430
6531245134035144
743240613112661
oct6243026366050
91474664321811
10434200243240
11158163799335
1270198948ab4
1331c38c65a6a
14170303a8368
15b46414ddca
hex651859ec28

434200243240 has 32 divisors (see below), whose sum is σ = 977745573000. Its totient is φ = 173538759424.

The previous prime is 434200243219. The next prime is 434200243241. The reversal of 434200243240 is 42342002434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 434125489924 + 74753316 = 658882^2 + 8646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434200243199 and 434200243208.

It is not an unprimeable number, because it can be changed into a prime (434200243241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4367035 + ... + 4465354.

Almost surely, 2434200243240 is an apocalyptic number.

434200243240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434200243240 is an abundant number, since it is smaller than the sum of its proper divisors (543545329760).

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

434200243240 is a wasteful number, since it uses less digits than its factorization.

434200243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833629 (or 8833625 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 434200243240 its reverse (42342002434), we get a palindrome (476542245674).

The spelling of 434200243240 in words is "four hundred thirty-four billion, two hundred million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1229 2458 4916 6145 9832 12290 24580 49160 8832389 17664778 35329556 44161945 70659112 88323890 176647780 353295560 10855006081 21710012162 43420024324 54275030405 86840048648 108550060810 217100121620 434200243240