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34285937 = 73195261
BaseRepresentation
bin1000001011001…
…0100101110001
32101111220110112
42002302211301
532234122222
63222511105
7564266000
oct202624561
971456415
1034285937
1118398594
12b595495
137145a4a
1447a6c37
153023be2
hex20b2971

34285937 has 16 divisors (see below), whose sum is σ = 42096000. Its totient is φ = 27835920.

The previous prime is 34285931. The next prime is 34285949. The reversal of 34285937 is 73958243.

It is not a de Polignac number, because 34285937 - 26 = 34285873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34285894 and 34285903.

It is not an unprimeable number, because it can be changed into a prime (34285931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3887 + ... + 9147.

It is an arithmetic number, because the mean of its divisors is an integer number (2631000).

Almost surely, 234285937 is an apocalyptic number.

It is an amenable number.

34285937 is a deficient number, since it is larger than the sum of its proper divisors (7810063).

34285937 is an equidigital number, since it uses as much as digits as its factorization.

34285937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5287 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 34285937 is about 5855.4194555130. The cubic root of 34285937 is about 324.8668077497.

The spelling of 34285937 in words is "thirty-four million, two hundred eighty-five thousand, nine hundred thirty-seven".

Divisors: 1 7 19 49 133 343 931 5261 6517 36827 99959 257789 699713 1804523 4897991 34285937