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3774944 = 25232223
BaseRepresentation
bin1110011001100111100000
321002210020202
432121213200
51431244234
6212524332
744041445
oct16314740
97083222
103774944
112149198
1213206a8
13a222c4
147039cc
154e877e
hex3999e0

3774944 has 36 divisors (see below), whose sum is σ = 7803936. Its totient is φ = 1797312.

The previous prime is 3774943. The next prime is 3774973. The reversal of 3774944 is 4494773.

It is a happy number.

3774944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 312 + 77 + 77 + 42 + 96 + 47 + 410 .

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3774898 and 3774907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774943) 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 5 ways as a sum of consecutive naturals, for example, 16817 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (216776).

Almost surely, 23774944 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 3774944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901968).

3774944 is an abundant number, since it is smaller than the sum of its proper divisors (4028992).

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

3774944 is a wasteful number, since it uses less digits than its factorization.

3774944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 3774944 is about 1942.9215115387. The cubic root of 3774944 is about 155.7053390237.

The spelling of 3774944 in words is "three million, seven hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 223 368 446 529 736 892 1058 1784 2116 3568 4232 5129 7136 8464 10258 16928 20516 41032 82064 117967 164128 235934 471868 943736 1887472 3774944