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34430421334 = 21724110211423
BaseRepresentation
bin100000000100001101…
…101000100101010110
310021212111220121220011
4200010031220211112
51031003141440314
623452255230434
72326134516061
oct400415504526
9107774817804
1034430421334
1113669091171
12680a81841a
133329219a9a
141948a018d8
15d67a714c4
hex804368956

34430421334 has 48 divisors (see below), whose sum is σ = 56294997696. Its totient is φ = 15780787200.

The previous prime is 34430421329. The next prime is 34430421413. The reversal of 34430421334 is 43312403443.

It is a junction number, because it is equal to n+sod(n) for n = 34430421296 and 34430421305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24194947 + ... + 24196369.

It is an arithmetic number, because the mean of its divisors is an integer number (1172812452).

Almost surely, 234430421334 is an apocalyptic number.

34430421334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34430421334 is a deficient number, since it is larger than the sum of its proper divisors (21864576362).

34430421334 is a wasteful number, since it uses less digits than its factorization.

34430421334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 34430421334 its reverse (43312403443), we get a palindrome (77742824777).

The spelling of 34430421334 in words is "thirty-four billion, four hundred thirty million, four hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 17 34 41 82 289 578 697 1021 1394 1423 2042 2846 11849 17357 23698 24191 34714 41861 48382 58343 83722 116686 295069 411247 590138 711637 822494 991831 1423274 1452883 1983662 2905766 12097829 16861127 24195658 24699011 33722254 49398022 59568203 119136406 419883187 839766374 1012659451 2025318902 17215210667 34430421334