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34315000 = 23546863
BaseRepresentation
bin1000001011100…
…1101011111000
32101120101022221
42002321223320
532241040000
63223253424
7564446506
oct202715370
971511287
1034315000
1118408405
12b5aa274
137156045
1447b3676
15302c61a
hex20b9af8

34315000 has 40 divisors (see below), whose sum is σ = 80411760. Its totient is φ = 13724000.

The previous prime is 34314971. The next prime is 34315003. The reversal of 34315000 is 51343.

34315000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34315003) 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 9 ways as a sum of consecutive naturals, for example, 1569 + ... + 8431.

It is an arithmetic number, because the mean of its divisors is an integer number (2010294).

Almost surely, 234315000 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 34315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40205880).

34315000 is an abundant number, since it is smaller than the sum of its proper divisors (46096760).

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

34315000 is an equidigital number, since it uses as much as digits as its factorization.

34315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 34315000 is about 5857.9006478430. The cubic root of 34315000 is about 324.9585746017.

Adding to 34315000 its reverse (51343), we get a palindrome (34366343).

The spelling of 34315000 in words is "thirty-four million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 6863 13726 27452 34315 54904 68630 137260 171575 274520 343150 686300 857875 1372600 1715750 3431500 4289375 6863000 8578750 17157500 34315000