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34223094 = 2331075923
BaseRepresentation
bin1000001010001…
…1001111110110
32101101201021000
42002203033312
532230114334
63221304130
7563614533
oct202431766
971351230
1034223094
1118355354
12b565046
137123269
14478bd8a
153010299
hex20a33f6

34223094 has 32 divisors (see below), whose sum is σ = 76775040. Its totient is φ = 11299176.

The previous prime is 34223087. The next prime is 34223099. The reversal of 34223094 is 49032243.

It is a happy number.

34223094 is a `hidden beast` number, since 342 + 230 + 94 = 666.

34223094 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-3 number, since 3×342230943 (a number of 24 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (34223099) 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 15 ways as a sum of consecutive naturals, for example, 2817 + ... + 8739.

It is an arithmetic number, because the mean of its divisors is an integer number (2399220).

Almost surely, 234223094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38387520).

34223094 is an abundant number, since it is smaller than the sum of its proper divisors (42551946).

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

34223094 is a wasteful number, since it uses less digits than its factorization.

34223094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6035 counting only the distinct ones).

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

The square root of 34223094 is about 5850.0507690105. The cubic root of 34223094 is about 324.6682026012.

It can be divided in two parts, 342 and 23094, that added together give a triangular number (23436 = T216).

The spelling of 34223094 in words is "thirty-four million, two hundred twenty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 5923 11846 17769 35538 53307 106614 159921 319842 633761 1267522 1901283 3802566 5703849 11407698 17111547 34223094