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434333321412 = 2231511243719273
BaseRepresentation
bin1100101001000000100…
…10001000100011000100
31112112002102202210211120
412110200102020203010
524104003312241122
6531310250233540
743244120213664
oct6244022104304
91475072683746
10434333321412
111582219229a1
12702154258b0
1331c5a6bb643
1417043d2a1a4
15b470b8975c
hex65204888c4

434333321412 has 48 divisors (see below), whose sum is σ = 1020290931072. Its totient is φ = 143799955200.

The previous prime is 434333321399. The next prime is 434333321413. The reversal of 434333321412 is 214123333434.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434333321413) 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, 22526208 + ... + 22545480.

It is an arithmetic number, because the mean of its divisors is an integer number (21256061064).

Almost surely, 2434333321412 is an apocalyptic number.

It is an amenable number.

434333321412 is an abundant number, since it is smaller than the sum of its proper divisors (585957609660).

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

434333321412 is a wasteful number, since it uses less digits than its factorization.

434333321412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31868 (or 31866 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 434333321412 its reverse (214123333434), we get a palindrome (648456654846).

The spelling of 434333321412 in words is "four hundred thirty-four billion, three hundred thirty-three million, three hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 151 302 453 604 906 1812 12437 19273 24874 37311 38546 49748 57819 74622 77092 115638 149244 231276 1877987 2910223 3755974 5633961 5820446 7511948 8730669 11267922 11640892 17461338 22535844 34922676 239698301 479396602 719094903 958793204 1438189806 2876379612 36194443451 72388886902 108583330353 144777773804 217166660706 434333321412