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34253424 = 24321271873
BaseRepresentation
bin1000001010101…
…0101001110000
32101110020212100
42002222221300
532232102144
63222100400
7564102132
oct202525160
971406770
1034253424
1118376117
12b57a700
137133cca
144799052
153019269
hex20aaa70

34253424 has 60 divisors (see below), whose sum is σ = 96668416. Its totient is φ = 11321856.

The previous prime is 34253407. The next prime is 34253431. The reversal of 34253424 is 42435243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17352 + ... + 19224.

Almost surely, 234253424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34253424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48334208).

34253424 is an abundant number, since it is smaller than the sum of its proper divisors (62414992).

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

34253424 is a wasteful number, since it uses less digits than its factorization.

34253424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 34253424 is about 5852.6424801110. The cubic root of 34253424 is about 324.7640859932.

Adding to 34253424 its reverse (42435243), we get a palindrome (76688667).

The spelling of 34253424 in words is "thirty-four million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 1873 2032 2286 3048 3746 4572 5619 6096 7492 9144 11238 14984 16857 18288 22476 29968 33714 44952 67428 89904 134856 237871 269712 475742 713613 951484 1427226 1902968 2140839 2854452 3805936 4281678 5708904 8563356 11417808 17126712 34253424