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34320813 = 331419001
BaseRepresentation
bin1000001011101…
…1000110101101
32101120200022020
42002323012231
532241231223
63223340353
7564502452
oct202730655
971520266
1034320813
111841180a
12b5b16b9
137158897
1447b5829
15302e1e3
hex20bb1ad

34320813 has 16 divisors (see below), whose sum is σ = 48394752. Its totient is φ = 21600000.

The previous prime is 34320799. The next prime is 34320823. The reversal of 34320813 is 31802343.

34320813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34320813 - 28 = 34320557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688 + ... + 8313.

It is an arithmetic number, because the mean of its divisors is an integer number (3024672).

Almost surely, 234320813 is an apocalyptic number.

It is an amenable number.

34320813 is a deficient number, since it is larger than the sum of its proper divisors (14073939).

34320813 is a wasteful number, since it uses less digits than its factorization.

34320813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34320813 is about 5858.3967943457. The cubic root of 34320813 is about 324.9769230163.

The spelling of 34320813 in words is "thirty-four million, three hundred twenty thousand, eight hundred thirteen".

Divisors: 1 3 31 41 93 123 1271 3813 9001 27003 279031 369041 837093 1107123 11440271 34320813