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434124304032 = 2534919210037
BaseRepresentation
bin1100101000100111101…
…00110010111010100000
31112111112212110121220010
412110103310302322200
524103041310212112
6531233422244520
743236001461606
oct6242364627240
91474485417803
10434124304032
11158124941061
1270177426740
1331c262c7b13
141702427b876
15b45c64d63c
hex6513d32ea0

434124304032 has 48 divisors (see below), whose sum is σ = 1141897351392. Its totient is φ = 144413364480.

The previous prime is 434124304013. The next prime is 434124304049. The reversal of 434124304032 is 230403421434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4341243040322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4557883 + ... + 4652154.

It is an arithmetic number, because the mean of its divisors is an integer number (23789528154).

Almost surely, 2434124304032 is an apocalyptic number.

It is an amenable number.

434124304032 is an abundant number, since it is smaller than the sum of its proper divisors (707773047360).

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

434124304032 is a wasteful number, since it uses less digits than its factorization.

434124304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210541 (or 9210533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 434124304032 its reverse (230403421434), we get a palindrome (664527725466).

The spelling of 434124304032 in words is "four hundred thirty-four billion, one hundred twenty-four million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 47136 9210037 18420074 27630111 36840148 55260222 73680296 110520444 147360592 221040888 294721184 442081776 884163552 4522128167 9044256334 13566384501 18088512668 27132769002 36177025336 54265538004 72354050672 108531076008 144708101344 217062152016 434124304032