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434040113304 = 23337241009081
BaseRepresentation
bin1100101000011101100…
…11101000100010011000
31112111100000001021221000
412110032303220202120
524102403232111204
6531221213545000
743233630042600
oct6241663504230
91474300037830
10434040113304
11158091368346
12701531a5160
1331c11a2b115
1417017003c00
15b45506d039
hex650ece8898

434040113304 has 96 divisors (see below), whose sum is σ = 1402510604400. Its totient is φ = 124011457920.

The previous prime is 434040113257. The next prime is 434040113323. The reversal of 434040113304 is 403311040434.

434040113304 is a `hidden beast` number, since 4 + 340 + 4 + 0 + 1 + 13 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20493957 + ... + 20515124.

Almost surely, 2434040113304 is an apocalyptic number.

It is an amenable number.

434040113304 is an abundant number, since it is smaller than the sum of its proper divisors (968470491096).

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

434040113304 is a wasteful number, since it uses less digits than its factorization.

434040113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41009110 (or 41009093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434040113304 its reverse (403311040434), we get a palindrome (837351153738).

The spelling of 434040113304 in words is "four hundred thirty-four billion, forty million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 41009081 82018162 123027243 164036324 246054486 287063567 328072648 369081729 492108972 574127134 738163458 861190701 984217944 1107245187 1148254268 1476326916 1722381402 2009444969 2214490374 2296508536 2583572103 2952653832 3444762804 4018889938 4428980748 5167144206 6028334907 6889525608 7750716309 8037779876 8857961496 10334288412 12056669814 15501432618 16075559752 18085004721 20668576824 24113339628 31002865236 36170009442 48226679256 54255014163 62005730472 72340018884 108510028326 144680037768 217020056652 434040113304