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434012321424 = 24311821993033
BaseRepresentation
bin1100101000011010010…
…01100111011010010000
31112111021001202022122010
412110031021213122100
524102324123241144
6531214342142520
743233141601653
oct6241511473220
91474231668563
10434012321424
11158077705950
1270145a21a40
1331c0904a216
141701344b89a
15b4528cd5b9
hex650d267690

434012321424 has 40 divisors (see below), whose sum is σ = 1223125634592. Its totient is φ = 131518885120.

The previous prime is 434012321399. The next prime is 434012321441. The reversal of 434012321424 is 424123210434.

It is a junction number, because it is equal to n+sod(n) for n = 434012321391 and 434012321400.

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 7 ways as a sum of consecutive naturals, for example, 410995989 + ... + 410997044.

Almost surely, 2434012321424 is an apocalyptic number.

434012321424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434012321424 is an abundant number, since it is smaller than the sum of its proper divisors (789113313168).

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

434012321424 is a wasteful number, since it uses less digits than its factorization.

434012321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821993055 (or 821993049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 434012321424 its reverse (424123210434), we get a palindrome (858135531858).

The spelling of 434012321424 in words is "four hundred thirty-four billion, twelve million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 821993033 1643986066 2465979099 3287972132 4931958198 6575944264 9041923363 9863916396 13151888528 18083846726 19727832792 27125770089 36167693452 39455665584 54251540178 72335386904 108503080356 144670773808 217006160712 434012321424