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3758768 = 2413171063
BaseRepresentation
bin1110010101101010110000
321001222001122
432111222300
51430240033
6212321412
743643336
oct16255260
97058048
103758768
112138022
121313268
13a17b30
146dbb56
154e3a98
hex395ab0

3758768 has 40 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1631232.

The previous prime is 3758761. The next prime is 3758791. The reversal of 3758768 is 8678573.

3758768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3758761) 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 7 ways as a sum of consecutive naturals, for example, 3005 + ... + 4067.

Almost surely, 23758768 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 3758768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3758768 is an abundant number, since it is smaller than the sum of its proper divisors (4553200).

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

3758768 is a wasteful number, since it uses less digits than its factorization.

3758768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 3758768 is about 1938.7542391959. The cubic root of 3758768 is about 155.4826164471.

The spelling of 3758768 in words is "three million, seven hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1063 1768 2126 3536 4252 8504 13819 17008 18071 27638 36142 55276 72284 110552 144568 221104 234923 289136 469846 939692 1879384 3758768