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3748384 = 25412857
BaseRepresentation
bin1110010011001000100000
321001102211001
432103020200
51424422014
6212201344
743601143
oct16231040
97042731
103748384
112130242
121309254
13a131a3
146d805a
154e0974
hex393220

3748384 has 24 divisors (see below), whose sum is σ = 7562268. Its totient is φ = 1827840.

The previous prime is 3748361. The next prime is 3748387. The reversal of 3748384 is 4838473.

It can be written as a sum of positive squares in 2 ways, for example, as 3610000 + 138384 = 1900^2 + 372^2 .

It is a super-2 number, since 2×37483842 = 28100765222912, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748387) 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, 117 + ... + 2740.

Almost surely, 23748384 is an apocalyptic number.

It is an amenable number.

3748384 is an abundant number, since it is smaller than the sum of its proper divisors (3813884).

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

3748384 is a wasteful number, since it uses less digits than its factorization.

3748384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2900 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 3748384 is about 1936.0743787365. The cubic root of 3748384 is about 155.3393052569.

The spelling of 3748384 in words is "three million, seven hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 2857 5714 11428 22856 45712 91424 117137 234274 468548 937096 1874192 3748384