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34343073 = 3211333769
BaseRepresentation
bin1000001100000…
…0100010100001
32101121210211200
42003000202201
532242434243
63224031413
7564624402
oct203004241
971553750
1034343073
1118427506
12b602569
137165a5b
1447bd9a9
153035ad3
hex20c08a1

34343073 has 12 divisors (see below), whose sum is σ = 50047140. Its totient is φ = 22692096.

The previous prime is 34343059. The next prime is 34343081. The reversal of 34343073 is 37034343.

It can be written as a sum of positive squares in 2 ways, for example, as 12552849 + 21790224 = 3543^2 + 4668^2 .

It is a de Polignac number, because none of the positive numbers 2k-34343073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34343003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15868 + ... + 17901.

It is an arithmetic number, because the mean of its divisors is an integer number (4170595).

Almost surely, 234343073 is an apocalyptic number.

It is an amenable number.

34343073 is a deficient number, since it is larger than the sum of its proper divisors (15704067).

34343073 is a wasteful number, since it uses less digits than its factorization.

34343073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33888 (or 33885 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 34343073 is about 5860.2963235659. The cubic root of 34343073 is about 325.0471663301.

The spelling of 34343073 in words is "thirty-four million, three hundred forty-three thousand, seventy-three".

Divisors: 1 3 9 113 339 1017 33769 101307 303921 3815897 11447691 34343073