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34348064 = 252937013
BaseRepresentation
bin1000001100000…
…1110000100000
32101122001200112
42003001300200
532243114224
63224110452
7564645062
oct203016040
971561615
1034348064
1118430233
12b605428
1371680ca
1447c1732
15303730e
hex20c1c20

34348064 has 24 divisors (see below), whose sum is σ = 69956460. Its totient is φ = 16581376.

The previous prime is 34348003. The next prime is 34348073. The reversal of 34348064 is 46084343.

It can be written as a sum of positive squares in 2 ways, for example, as 34339600 + 8464 = 5860^2 + 92^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34348064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17579 + ... + 19434.

Almost surely, 234348064 is an apocalyptic number.

It is an amenable number.

34348064 is an abundant number, since it is smaller than the sum of its proper divisors (35608396).

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

34348064 is a wasteful number, since it uses less digits than its factorization.

34348064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37052 (or 37044 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 34348064 is about 5860.7221398050. The cubic root of 34348064 is about 325.0629116870.

The spelling of 34348064 in words is "thirty-four million, three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 37013 74026 148052 296104 592208 1073377 1184416 2146754 4293508 8587016 17174032 34348064