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3778344 = 233297541
BaseRepresentation
bin1110011010011100101000
321002221220200
432122130220
51431401334
6212552200
744054403
oct16323450
97087820
103778344
1121507a9
121322660
13a23a0b
14704d3a
154e9799
hex39a728

3778344 has 48 divisors (see below), whose sum is σ = 10357620. Its totient is φ = 1244160.

The previous prime is 3778343. The next prime is 3778391. The reversal of 3778344 is 4438773.

3778344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 22500 = 1938^2 + 150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3778299 and 3778308.

It is not an unprimeable number, because it can be changed into a prime (3778343) 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 11 ways as a sum of consecutive naturals, for example, 6714 + ... + 7254.

Almost surely, 23778344 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 3778344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178810).

3778344 is an abundant number, since it is smaller than the sum of its proper divisors (6579276).

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

3778344 is a wasteful number, since it uses less digits than its factorization.

3778344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 643 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 3778344 is about 1943.7962856225. The cubic root of 3778344 is about 155.7520716634.

The spelling of 3778344 in words is "three million, seven hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 541 582 776 873 1082 1164 1623 1746 2164 2328 3246 3492 4328 4869 6492 6984 9738 12984 19476 38952 52477 104954 157431 209908 314862 419816 472293 629724 944586 1259448 1889172 3778344