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434423431330 = 257174796611153
BaseRepresentation
bin1100101001001011010…
…01111000000010100010
31112112022201022212101221
412110211221320002202
524104144344300310
6531323225445254
743246263145060
oct6244551700242
91475281285357
10434423431330
111582687798a9
127023b64082a
1331c7327b615
1417051ca5030
15b478a38ada
hex6525a780a2

434423431330 has 128 divisors (see below), whose sum is σ = 950473543680. Its totient is φ = 139558256640.

The previous prime is 434423431319. The next prime is 434423431331. The reversal of 434423431330 is 33134324434.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (434423431331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376776034 + ... + 376777186.

It is an arithmetic number, because the mean of its divisors is an integer number (7425574560).

Almost surely, 2434423431330 is an apocalyptic number.

434423431330 is an abundant number, since it is smaller than the sum of its proper divisors (516050112350).

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

434423431330 is a wasteful number, since it uses less digits than its factorization.

434423431330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 434423431330 its reverse (33134324434), we get a palindrome (467557755764).

The spelling of 434423431330 in words is "four hundred thirty-four billion, four hundred twenty-three million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 479 595 661 958 1153 1190 1322 2306 2395 3305 3353 4627 4790 5765 6610 6706 8071 8143 9254 11237 11530 16142 16286 16765 19601 22474 23135 33530 39202 40355 40715 46270 56185 57001 78659 80710 81430 98005 112370 114002 137207 157318 196010 274414 285005 316619 393295 552287 570010 633238 686035 762133 786590 1104574 1372070 1524266 1583095 2216333 2761435 3166190 3810665 3866009 4432666 5334931 5382523 5522870 7621330 7732018 9388879 10669862 10765046 11081665 12956261 18777758 19330045 22163330 25912522 26674655 26912615 37677661 38660090 46944395 53349310 53825230 64781305 65722153 75355322 90693827 93888790 129562610 131444306 181387654 188388305 328610765 365061707 376776610 453469135 657221530 730123414 906938270 1825308535 2555431949 3650617070 5110863898 6206049019 12412098038 12777159745 25554319490 31030245095 43442343133 62060490190 86884686266 217211715665 434423431330