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34522038 = 235251283
BaseRepresentation
bin1000001110110…
…0001110110110
32101221220100000
42003230032312
532314201123
63231532130
7566301225
oct203541666
971856300
1034522038
1118539a11
12b68a046
1371c9355
144828cbc
15306db43
hex20ec3b6

34522038 has 48 divisors (see below), whose sum is σ = 78152256. Its totient is φ = 11421000.

The previous prime is 34522001. The next prime is 34522043. The reversal of 34522038 is 83022543.

34522038 is a `hidden beast` number, since 3 + 452 + 203 + 8 = 666.

34522038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345220382 = 2383542215346888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 121845 + ... + 122127.

It is an arithmetic number, because the mean of its divisors is an integer number (1628172).

Almost surely, 234522038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34522038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39076128).

34522038 is an abundant number, since it is smaller than the sum of its proper divisors (43630218).

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

34522038 is a wasteful number, since it uses less digits than its factorization.

34522038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34522038 is about 5875.5457618846. The cubic root of 34522038 is about 325.6108055724.

The spelling of 34522038 in words is "thirty-four million, five hundred twenty-two thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 251 283 486 502 566 753 849 1506 1698 2259 2547 4518 5094 6777 7641 13554 15282 20331 22923 40662 45846 60993 68769 71033 121986 137538 142066 213099 426198 639297 1278594 1917891 3835782 5753673 11507346 17261019 34522038