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434030240020 = 225133697451541
BaseRepresentation
bin1100101000011100011…
…01111110000100010100
31112111022022110200022211
412110032031332010110
524102343220140040
6531220222203204
743233450111526
oct6241615760424
91474268420284
10434030240020
11158086834403
127014ba23504
1331c0c982140
1417015993a16
15b45426c8ea
hex650e37e114

434030240020 has 48 divisors (see below), whose sum is σ = 981843761808. Its totient is φ = 160213616640.

The previous prime is 434030239967. The next prime is 434030240041. The reversal of 434030240020 is 20042030434.

It can be written as a sum of positive squares in 8 ways, for example, as 63777461764 + 370252778256 = 252542^2 + 608484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434030239973 and 434030240000.

It is a congruent number.

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, 735450 + ... + 1186990.

It is an arithmetic number, because the mean of its divisors is an integer number (20455078371).

Almost surely, 2434030240020 is an apocalyptic number.

It is an amenable number.

434030240020 is an abundant number, since it is smaller than the sum of its proper divisors (547813521788).

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

434030240020 is a wasteful number, since it uses less digits than its factorization.

434030240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455260 (or 455258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 434030240020 its reverse (20042030434), we get a palindrome (454072270454).

The spelling of 434030240020 in words is "four hundred thirty-four billion, thirty million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3697 7394 14788 18485 36970 48061 73940 96122 192244 240305 451541 480610 903082 961220 1806164 2257705 4515410 5870033 9030820 11740066 23480132 29350165 58700330 117400660 1669347077 3338694154 6677388308 8346735385 16693470770 21701512001 33386941540 43403024002 86806048004 108507560005 217015120010 434030240020