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34439104 = 26776873
BaseRepresentation
bin1000001101011…
…1111111000000
32101210200120101
42003113333000
532304022404
63230052144
7565504360
oct203277700
971720511
1034439104
1118492677
12b64a054
13719a68b
1448069a0
1530542a4
hex20d7fc0

34439104 has 28 divisors (see below), whose sum is σ = 78103984. Its totient is φ = 14759424.

The previous prime is 34439101. The next prime is 34439117. The reversal of 34439104 is 40193443.

34439104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34439101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37989 + ... + 38884.

It is an arithmetic number, because the mean of its divisors is an integer number (2789428).

Almost surely, 234439104 is an apocalyptic number.

It is an amenable number.

34439104 is an abundant number, since it is smaller than the sum of its proper divisors (43664880).

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

34439104 is an equidigital number, since it uses as much as digits as its factorization.

34439104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76892 (or 76882 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34439104 is about 5868.4839609562. The cubic root of 34439104 is about 325.3498528445.

It can be divided in two parts, 34439 and 104, that added together give a palindrome (34543).

The spelling of 34439104 in words is "thirty-four million, four hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 76873 153746 307492 538111 614984 1076222 1229968 2152444 2459936 4304888 4919872 8609776 17219552 34439104