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3849444 = 22341092
BaseRepresentation
bin1110101011110011100100
321020120110000
432223303210
51441140234
6214301300
744501604
oct16536344
97216400
103849444
11219a165
121357830
13a4a1a1
14722c04
15510899
hex3abce4

3849444 has 45 divisors (see below), whose sum is σ = 10156377. Its totient is φ = 1271376.

The previous prime is 3849437. The next prime is 3849467. The reversal of 3849444 is 4449483.

The square root of 3849444 is 1962.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2683044 + 1166400 = 1638^2 + 1080^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 3849399 and 3849408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35262 + ... + 35370.

Almost surely, 23849444 is an apocalyptic number.

3849444 is the 1962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849444

3849444 is an abundant number, since it is smaller than the sum of its proper divisors (6306933).

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

3849444 is a wasteful number, since it uses less digits than its factorization.

3849444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 114 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 3849444 is about 156.7229755843.

The spelling of 3849444 in words is "three million, eight hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 11881 17658 23762 35316 35643 47524 71286 106929 142572 213858 320787 427716 641574 962361 1283148 1924722 3849444