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34343552 = 27713779
BaseRepresentation
bin1000001100000…
…0101010000000
32101121211111102
42003000222000
532242443202
63224033532
7564625655
oct203005200
971554442
1034343552
1118427901
12b6028a8
137166039
1447bdc2c
153035d02
hex20c0a80

34343552 has 32 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 16925440.

The previous prime is 34343521. The next prime is 34343557. The reversal of 34343552 is 25534343.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34343557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7199 + ... + 10977.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 234343552 is an apocalyptic number.

34343552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

34343552 is an abundant number, since it is smaller than the sum of its proper divisors (35057248).

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

34343552 is an equidigital number, since it uses as much as digits as its factorization.

34343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3852 counting only the distinct ones).

The product of its digits is 21600, while the sum is 29.

The square root of 34343552 is about 5860.3371916640. The cubic root of 34343552 is about 325.0486775215.

Adding to 34343552 its reverse (25534343), we get a palindrome (59877895).

The spelling of 34343552 in words is "thirty-four million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 3779 4544 7558 9088 15116 30232 60464 120928 241856 268309 483712 536618 1073236 2146472 4292944 8585888 17171776 34343552