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34004 = 228501
BaseRepresentation
bin1000010011010100
31201122102
420103110
52042004
6421232
7201065
oct102324
951572
1034004
1123603
1217818
1312629
14c56c
15a11e
hex84d4

34004 has 6 divisors (see below), whose sum is σ = 59514. Its totient is φ = 17000.

The previous prime is 33997. The next prime is 34019. The reversal of 34004 is 40043.

It can be written as a sum of positive squares in only one way, i.e., 21904 + 12100 = 148^2 + 110^2 .

It is a congruent number.

It is an unprimeable number.

34004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4247 + ... + 4254.

It is an arithmetic number, because the mean of its divisors is an integer number (9919).

234004 is an apocalyptic number.

It is an amenable number.

34004 is a deficient number, since it is larger than the sum of its proper divisors (25510).

34004 is a wasteful number, since it uses less digits than its factorization.

34004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34004 is about 184.4017353498. The cubic root of 34004 is about 32.3973883990.

Adding to 34004 its reverse (40043), we get a palindrome (74047).

The spelling of 34004 in words is "thirty-four thousand, four", and thus it is an eban number.

Divisors: 1 2 4 8501 17002 34004