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34523424 = 2532139221
BaseRepresentation
bin1000001110110…
…0100100100000
32101221222020100
42003230210200
532314222144
63231542400
7566305245
oct203544440
971858210
1034523424
111853aa61
12b68aa00
1371c9b80
1448295cc
15306e269
hex20ec920

34523424 has 72 divisors (see below), whose sum is σ = 105739452. Its totient is φ = 10621440.

The previous prime is 34523389. The next prime is 34523473. The reversal of 34523424 is 42432543.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 90000 = 5868^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 867 + ... + 8354.

Almost surely, 234523424 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 34523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52869726).

34523424 is an abundant number, since it is smaller than the sum of its proper divisors (71216028).

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

34523424 is a wasteful number, since it uses less digits than its factorization.

34523424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9239 counting only the distinct ones).

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

The square root of 34523424 is about 5875.6637071909. The cubic root of 34523424 is about 325.6151630840.

Adding to 34523424 its reverse (42432543), we get a palindrome (76955967).

The spelling of 34523424 in words is "thirty-four million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 9221 18442 27663 36884 55326 73768 82989 110652 119873 147536 165978 221304 239746 295072 331956 359619 442608 479492 663912 719238 885216 958984 1078857 1327824 1438476 1917968 2157714 2655648 2876952 3835936 4315428 5753904 8630856 11507808 17261712 34523424