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3940768 = 25139473
BaseRepresentation
bin1111000010000110100000
321102012201101
433002012200
52002101033
6220244144
745332056
oct17020640
97365641
103940768
112251837
1213a0654
13a7c920
147481d6
1552c97d
hex3c21a0

3940768 has 24 divisors (see below), whose sum is σ = 8356068. Its totient is φ = 1818624.

The previous prime is 3940763. The next prime is 3940777. The reversal of 3940768 is 8670493.

It can be written as a sum of positive squares in 2 ways, for example, as 3888784 + 51984 = 1972^2 + 228^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3940763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4321 + ... + 5152.

Almost surely, 23940768 is an apocalyptic number.

It is an amenable number.

3940768 is an abundant number, since it is smaller than the sum of its proper divisors (4415300).

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

3940768 is a wasteful number, since it uses less digits than its factorization.

3940768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3940768 is about 1985.1367711067. The cubic root of 3940768 is about 157.9526643437.

The spelling of 3940768 in words is "three million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 9473 18946 37892 75784 123149 151568 246298 303136 492596 985192 1970384 3940768