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34201412 = 2272211827
BaseRepresentation
bin1000001001110…
…1111101000100
32101100121111222
42002131331010
532223421122
63221015512
7563464400
oct202357504
971317458
1034201412
1118340033
12b554598
13711642b
144784100
153008b42
hex209df44

34201412 has 36 divisors (see below), whose sum is σ = 70038864. Its totient is φ = 14570640.

The previous prime is 34201369. The next prime is 34201417. The reversal of 34201412 is 21410243.

It is not an unprimeable number, because it can be changed into a prime (34201417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40943 + ... + 41769.

It is an arithmetic number, because the mean of its divisors is an integer number (1945524).

Almost surely, 234201412 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 34201412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35019432).

34201412 is an abundant number, since it is smaller than the sum of its proper divisors (35837452).

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

34201412 is a wasteful number, since it uses less digits than its factorization.

34201412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34201412 is about 5848.1973290921. The cubic root of 34201412 is about 324.5996237335.

Adding to 34201412 its reverse (21410243), we get a palindrome (55611655).

The spelling of 34201412 in words is "thirty-four million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 211 422 827 844 1477 1654 2954 3308 5789 5908 10339 11578 20678 23156 40523 41356 81046 162092 174497 348994 697988 1221479 2442958 4885916 8550353 17100706 34201412