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16351434 = 23211269307
BaseRepresentation
bin111110011000…
…000011001010
31010202201221200
4332120003022
513141221214
61342245030
7255661551
oct76300312
933681850
1016351434
119259090
125586776
133506808
142258d98
15167ed09
hexf980ca

16351434 has 48 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 4920480.

The previous prime is 16351429. The next prime is 16351453. The reversal of 16351434 is 43415361.

16351434 = 1002 + 1012 + ... + 3682.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16351398 and 16351407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53109 + ... + 53415.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 216351434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16351434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

16351434 is an abundant number, since it is smaller than the sum of its proper divisors (22567446).

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

16351434 is a wasteful number, since it uses less digits than its factorization.

16351434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 592 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 16351434 is about 4043.6906409863. The cubic root of 16351434 is about 253.8157777172.

Adding to 16351434 its reverse (43415361), we get a palindrome (59766795).

The spelling of 16351434 in words is "sixteen million, three hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 307 538 614 807 921 1614 1842 2421 2763 2959 3377 4842 5526 5918 6754 8877 10131 17754 20262 26631 30393 53262 60786 82583 165166 247749 495498 743247 908413 1486494 1816826 2725239 5450478 8175717 16351434