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434134433304 = 2332111342165349
BaseRepresentation
bin1100101000101000110…
…11011011111000011000
31112111120120112020122100
412110110123123320120
524103101403331204
6531234423323400
743236153540165
oct6242433337030
91474516466570
10434134433304
1115812a62a360
127017a8b0560
1331c28433480
141702575706c
15b45d49ea39
hex65146dbe18

434134433304 has 96 divisors (see below), whose sum is σ = 1381336866000. Its totient is φ = 121436202240.

The previous prime is 434134433279. The next prime is 434134433311. The reversal of 434134433304 is 403334431434.

434134433304 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 344 + 3 + 3 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21072379 + ... + 21092970.

Almost surely, 2434134433304 is an apocalyptic number.

434134433304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434134433304 is an abundant number, since it is smaller than the sum of its proper divisors (947202432696).

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

434134433304 is a wasteful number, since it uses less digits than its factorization.

434134433304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42165385 (or 42165378 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 434134433304 its reverse (403334431434), we get a palindrome (837468864738).

The spelling of 434134433304 in words is "four hundred thirty-four billion, one hundred thirty-four million, four hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 42165349 84330698 126496047 168661396 252992094 337322792 379488141 463818839 505984188 548149537 758976282 927637678 1011968376 1096299074 1391456517 1517952564 1644448611 1855275356 2192598148 2782913034 3035905128 3288897222 3710550712 4174369551 4385196296 4933345833 5565826068 6029644907 6577794444 8348739102 9866691666 11131652136 12059289814 13155588888 16697478204 18088934721 19733383332 24118579628 33394956408 36177869442 39466766664 48237159256 54266804163 72355738884 108533608326 144711477768 217067216652 434134433304