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434224400103 = 34133113302221
BaseRepresentation
bin1100101000110011100…
…10101000011011100111
31112111210211211000220000
412110121302220123213
524103242421300403
6531251355512343
743241325334104
oct6243162503347
91474724730800
10434224400103
1115817639878a
12701a4a586b3
1331c40c73270
1417033695aab
15b4663217a3
hex6519ca86e7

434224400103 has 40 divisors (see below), whose sum is σ = 721086850176. Its totient is φ = 258595156800.

The previous prime is 434224400101. The next prime is 434224400111. The reversal of 434224400103 is 301004422434.

It is a happy number.

434224400103 is a `hidden beast` number, since 4 + 34 + 224 + 400 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 434224400103 - 21 = 434224400101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434224400101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6618468 + ... + 6683753.

Almost surely, 2434224400103 is an apocalyptic number.

434224400103 is a deficient number, since it is larger than the sum of its proper divisors (286862450073).

434224400103 is a wasteful number, since it uses less digits than its factorization.

434224400103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13302277 (or 13302268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434224400103 its reverse (301004422434), we get a palindrome (735228822537).

The spelling of 434224400103 in words is "four hundred thirty-four billion, two hundred twenty-four million, four hundred thousand, one hundred three".

Divisors: 1 3 9 13 27 31 39 81 93 117 279 351 403 837 1053 1209 2511 3627 10881 32643 13302221 39906663 119719989 172928873 359159967 412368851 518786619 1077479901 1237106553 1556359857 3711319659 4669079571 5360795063 11133958977 14007238713 16082385189 33401876931 48247155567 144741466701 434224400103