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3781840 = 245411153
BaseRepresentation
bin1110011011010011010000
321010010201011
432123103100
51432004330
6213020304
744100526
oct16332320
97103634
103781840
112153397
121324694
13a2549a
14706316
154ea82a
hex39b4d0

3781840 has 40 divisors (see below), whose sum is σ = 9015048. Its totient is φ = 1474560.

The previous prime is 3781829. The next prime is 3781849. The reversal of 3781840 is 481873.

It is a happy number.

3781840 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 4 ways, for example, as 141376 + 3640464 = 376^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781849) 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, 2704 + ... + 3856.

Almost surely, 23781840 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 3781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507524).

3781840 is an abundant number, since it is smaller than the sum of its proper divisors (5233208).

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

3781840 is a wasteful number, since it uses less digits than its factorization.

3781840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 3781840 is about 1944.6953488914. The cubic root of 3781840 is about 155.8000945881.

The spelling of 3781840 in words is "three million, seven hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1153 1640 2306 3280 4612 5765 9224 11530 18448 23060 46120 47273 92240 94546 189092 236365 378184 472730 756368 945460 1890920 3781840