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34106604 = 22371732347
BaseRepresentation
bin1000001000011…
…0110011101100
32101011210110120
42002012303230
532212402404
63215004540
7562621110
oct202066354
971153416
1034106604
1118285884
12b509750
1370b222c
14475b740
152eda9d9
hex2086cec

34106604 has 48 divisors (see below), whose sum is σ = 91515648. Its totient is φ = 9684288.

The previous prime is 34106599. The next prime is 34106617. The reversal of 34106604 is 40660143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13359 + ... + 15705.

It is an arithmetic number, because the mean of its divisors is an integer number (1906576).

Almost surely, 234106604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45757824).

34106604 is an abundant number, since it is smaller than the sum of its proper divisors (57409044).

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

34106604 is a wasteful number, since it uses less digits than its factorization.

34106604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34106604 is about 5840.0859582715. The cubic root of 34106604 is about 324.2994107747.

Adding to 34106604 its reverse (40660143), we get a palindrome (74766747).

The spelling of 34106604 in words is "thirty-four million, one hundred six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2347 2422 3633 4694 4844 7041 7266 9388 14082 14532 16429 28164 32858 49287 65716 98574 197148 406031 812062 1218093 1624124 2436186 2842217 4872372 5684434 8526651 11368868 17053302 34106604