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434040102340 = 225132593364373
BaseRepresentation
bin1100101000011101100…
…11100101110111000100
31112111100000000201212221
412110032303211313010
524102403231233330
6531221213422124
743233626665615
oct6241663456704
91474300021787
10434040102340
11158091360089
127015319a944
1331c11a26130
1417016dddc0c
15b455069b7a
hex650ece5dc4

434040102340 has 48 divisors (see below), whose sum is σ = 981651485808. Its totient is φ = 160252291584.

The previous prime is 434040102337. The next prime is 434040102373. The reversal of 434040102340 is 43201040434.

It can be written as a sum of positive squares in 8 ways, for example, as 27190031236 + 406850071104 = 164894^2 + 637848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6710394 + ... + 6774766.

It is an arithmetic number, because the mean of its divisors is an integer number (20451072621).

Almost surely, 2434040102340 is an apocalyptic number.

It is an amenable number.

434040102340 is an abundant number, since it is smaller than the sum of its proper divisors (547611383468).

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

434040102340 is a wasteful number, since it uses less digits than its factorization.

434040102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90328 (or 90326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 434040102340 its reverse (43201040434), we get a palindrome (477241142774).

The spelling of 434040102340 in words is "four hundred thirty-four billion, forty million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 25933 51866 64373 103732 128746 129665 257492 259330 321865 337129 518660 643730 674258 836849 1287460 1348516 1673698 1685645 3347396 3371290 4184245 6742580 8368490 16736980 1669385009 3338770018 6677540036 8346925045 16693850090 21702005117 33387700180 43404010234 86808020468 108510025585 217020051170 434040102340