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34928 = 243759
BaseRepresentation
bin1000100001110000
31202220122
420201300
52104203
6425412
7203555
oct104160
952818
1034928
1124273
1218268
1312b8a
14ca2c
15a538
hex8870

34928 has 20 divisors (see below), whose sum is σ = 70680. Its totient is φ = 16704.

The previous prime is 34919. The next prime is 34939. The reversal of 34928 is 82943.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 33 + 4 + 92 + 211 + 85 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 34897 and 34906.

It is a congruent number.

It is an unprimeable number.

34928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

234928 is an apocalyptic number.

It is an amenable number.

34928 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

34928 is a wasteful number, since it uses less digits than its factorization.

34928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 34928 is about 186.8903421796. The cubic root of 34928 is about 32.6882175346.

The spelling of 34928 in words is "thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 37 59 74 118 148 236 296 472 592 944 2183 4366 8732 17464 34928