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34309152 = 2532119129
BaseRepresentation
bin1000001011100…
…0010000100000
32101120002022100
42002320100200
532240343102
63223210400
7564423453
oct202702040
971502270
1034309152
1118403a79
12b5a6a00
137153497
1447b149a
15302aa1c
hex20b8420

34309152 has 36 divisors (see below), whose sum is σ = 97567470. Its totient is φ = 11436288.

The previous prime is 34309151. The next prime is 34309189. The reversal of 34309152 is 25190343.

It can be written as a sum of positive squares in only one way, i.e., 34152336 + 156816 = 5844^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (34309151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59277 + ... + 59852.

Almost surely, 234309152 is an apocalyptic number.

34309152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34309152 is an abundant number, since it is smaller than the sum of its proper divisors (63258318).

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

34309152 is a wasteful number, since it uses less digits than its factorization.

34309152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119145 (or 119134 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34309152 is about 5857.4014716425. The cubic root of 34309152 is about 324.9401136205.

Adding to 34309152 its reverse (25190343), we get a palindrome (59499495).

The spelling of 34309152 in words is "thirty-four million, three hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 119129 238258 357387 476516 714774 953032 1072161 1429548 1906064 2144322 2859096 3812128 4288644 5718192 8577288 11436384 17154576 34309152