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38634768 = 2432268297
BaseRepresentation
bin1001001101100…
…0010100010000
32200200211221100
42103120110100
534342303033
63500024400
7646250544
oct223302420
980624840
1038634768
111a898967
1210b32100
138009313
1451b9a24
1535d2513
hex24d8510

38634768 has 30 divisors (see below), whose sum is σ = 108124094. Its totient is φ = 12878208.

The previous prime is 38634767. The next prime is 38634787. The reversal of 38634768 is 86743683.

38634768 is a `hidden beast` number, since 3 + 8 + 634 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37307664 + 1327104 = 6108^2 + 1152^2 .

It is not an unprimeable number, because it can be changed into a prime (38634763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134005 + ... + 134292.

Almost surely, 238634768 is an apocalyptic number.

It is an amenable number.

38634768 is an abundant number, since it is smaller than the sum of its proper divisors (69489326).

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

38634768 is a wasteful number, since it uses less digits than its factorization.

38634768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268311 (or 268302 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38634768 is about 6215.6872508195. The cubic root of 38634768 is about 338.0592079092.

The spelling of 38634768 in words is "thirty-eight million, six hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 268297 536594 804891 1073188 1609782 2146376 2414673 3219564 4292752 4829346 6439128 9658692 12878256 19317384 38634768