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34973 = 41853
BaseRepresentation
bin1000100010011101
31202222022
420202131
52104343
6425525
7203651
oct104235
952868
1034973
1124304
12182a5
1312bc3
14ca61
15a568
hex889d

34973 has 4 divisors (see below), whose sum is σ = 35868. Its totient is φ = 34080.

The previous prime is 34963. The next prime is 34981. The reversal of 34973 is 37943.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37943 = 191997.

It can be written as a sum of positive squares in 2 ways, for example, as 1849 + 33124 = 43^2 + 182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34973 is a prime.

It is a super-2 number, since 2×349732 = 2446221458, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34913) 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 3 ways as a sum of consecutive naturals, for example, 386 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (8967).

234973 is an apocalyptic number.

It is an amenable number.

34973 is a deficient number, since it is larger than the sum of its proper divisors (895).

34973 is an equidigital number, since it uses as much as digits as its factorization.

34973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894.

The product of its digits is 2268, while the sum is 26.

The square root of 34973 is about 187.0106948813. The cubic root of 34973 is about 32.7022496247.

The spelling of 34973 in words is "thirty-four thousand, nine hundred seventy-three".

Divisors: 1 41 853 34973