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34022394 = 2327299311
BaseRepresentation
bin1000000111001…
…0001111111010
32101000111221200
42001302033322
532202204034
63213115030
7562120440
oct201621772
971014850
1034022394
111822858a
12b488a76
137082ac3
144738b90
152ec0a99
hex20723fa

34022394 has 48 divisors (see below), whose sum is σ = 87160320. Its totient is φ = 9384480.

The previous prime is 34022393. The next prime is 34022437. The reversal of 34022394 is 49322043.

It is a happy number.

34022394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34022393) 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 23 ways as a sum of consecutive naturals, for example, 1002 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (1815840).

Almost surely, 234022394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34022394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43580160).

34022394 is an abundant number, since it is smaller than the sum of its proper divisors (53137926).

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

34022394 is a wasteful number, since it uses less digits than its factorization.

34022394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34022394 is about 5832.8718484122. The cubic root of 34022394 is about 324.0322898774.

The spelling of 34022394 in words is "thirty-four million, twenty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 9311 18622 27933 55866 65177 83799 130354 167598 195531 270019 391062 540038 586593 810057 1173186 1620114 1890133 2430171 3780266 4860342 5670399 11340798 17011197 34022394