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34225356 = 223112511033
BaseRepresentation
bin1000001010001…
…1110011001100
32101101211100210
42002203303030
532230202411
63221322420
7563624244
oct202436314
971354323
1034225356
1118357020
12b566410
1371242b9
14478cb24
153010ca6
hex20a3ccc

34225356 has 48 divisors (see below), whose sum is σ = 87550848. Its totient is φ = 10320000.

The previous prime is 34225351. The next prime is 34225379. The reversal of 34225356 is 65352243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225351) by changing a digit.

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, 32616 + ... + 33648.

It is an arithmetic number, because the mean of its divisors is an integer number (1823976).

Almost surely, 234225356 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 34225356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43775424).

34225356 is an abundant number, since it is smaller than the sum of its proper divisors (53325492).

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

34225356 is a wasteful number, since it uses less digits than its factorization.

34225356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 34225356 is about 5850.2440974715. The cubic root of 34225356 is about 324.6753555030.

Adding to 34225356 its reverse (65352243), we get a palindrome (99577599).

It can be divided in two parts, 3422 and 5356, that added together give a palindrome (8778).

The spelling of 34225356 in words is "thirty-four million, two hundred twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1033 1506 2066 2761 3012 3099 4132 5522 6198 8283 11044 11363 12396 16566 22726 33132 34089 45452 68178 136356 259283 518566 777849 1037132 1555698 2852113 3111396 5704226 8556339 11408452 17112678 34225356