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434000314230 = 23572295238309
BaseRepresentation
bin1100101000011000110…
…11110011111101110110
31112111020020011021212020
412110030123303331312
524102313040023410
6531213232534010
743232634542400
oct6241433637566
91474206137766
10434000314230
1115807095474a
12701419b1306
1331c06704b82
1417011a03b70
15b45180aa70
hex650c6f3f76

434000314230 has 48 divisors (see below), whose sum is σ = 1211658024240. Its totient is φ = 99200071488.

The previous prime is 434000314229. The next prime is 434000314249. The reversal of 434000314230 is 32413000434.

It is a self number, because there is not a number n which added to its sum of digits gives 434000314230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147617685 + ... + 147620624.

It is an arithmetic number, because the mean of its divisors is an integer number (25242875505).

Almost surely, 2434000314230 is an apocalyptic number.

434000314230 is an abundant number, since it is smaller than the sum of its proper divisors (777657710010).

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

434000314230 is a wasteful number, since it uses less digits than its factorization.

434000314230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295238333 (or 295238326 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434000314230 its reverse (32413000434), we get a palindrome (466413314664).

The spelling of 434000314230 in words is "four hundred thirty-four billion, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 295238309 590476618 885714927 1476191545 1771429854 2066668163 2952383090 4133336326 4428574635 6200004489 8857149270 10333340815 12400008978 14466677141 20666681630 28933354282 31000022445 43400031423 62000044890 72333385705 86800062846 144666771410 217000157115 434000314230