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34282926 = 235233067
BaseRepresentation
bin1000001011000…
…1110110101110
32101111202100000
42002301312232
532234023201
63222445130
7564254136
oct202616656
971452300
1034282926
11183962a7
12b5937a6
137144572
1447a5ac6
153022d86
hex20b1dae

34282926 has 48 divisors (see below), whose sum is σ = 80406144. Its totient is φ = 10927224.

The previous prime is 34282879. The next prime is 34282933. The reversal of 34282926 is 62928243.

34282926 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9645 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (1675128).

Almost surely, 234282926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34282926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40203072).

34282926 is an abundant number, since it is smaller than the sum of its proper divisors (46123218).

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

34282926 is a wasteful number, since it uses less digits than its factorization.

34282926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3095 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34282926 is about 5855.1623376299. The cubic root of 34282926 is about 324.8572975085.

The spelling of 34282926 in words is "thirty-four million, two hundred eighty-two thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 3067 3726 5589 6134 9201 11178 18402 27603 55206 70541 82809 141082 165618 211623 248427 423246 496854 634869 745281 1269738 1490562 1904607 3809214 5713821 11427642 17141463 34282926