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34969 = 112172
BaseRepresentation
bin1000100010011001
31202222011
420202121
52104334
6425521
7203644
oct104231
952864
1034969
1124300
12182a1
1312bbc
14ca5b
15a564
hex8899

34969 has 9 divisors (see below), whose sum is σ = 40831. Its totient is φ = 29920.

The previous prime is 34963. The next prime is 34981. The reversal of 34969 is 96943.

34969 = T186 + T187.

The square root of 34969 is 187.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 7744 = 165^2 + 88^2 .

It is not a de Polignac number, because 34969 - 23 = 34961 is a prime.

It is a super-2 number, since 2×349692 = 2445661922, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 13 and base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 34969.

It is not an unprimeable number, because it can be changed into a prime (34961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2049 + ... + 2065.

234969 is an apocalyptic number.

34969 is the 187-th square number.

34969 is the 94-th centered octagonal number.

It is an amenable number.

34969 is a deficient number, since it is larger than the sum of its proper divisors (5862).

34969 is a wasteful number, since it uses less digits than its factorization.

34969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The cubic root of 34969 is about 32.7010028154.

The spelling of 34969 in words is "thirty-four thousand, nine hundred sixty-nine".

Divisors: 1 11 17 121 187 289 2057 3179 34969