Search a number
-
+
3439644 = 22313171297
BaseRepresentation
bin1101000111110000011100
320110202022020
431013300130
51340032034
6201420140
741144055
oct15076034
96422266
103439644
111a3a28a
12119a650
139357c0
1465772c
1547e249
hex347c1c

3439644 has 48 divisors (see below), whose sum is σ = 9158688. Its totient is φ = 995328.

The previous prime is 3439643. The next prime is 3439649. The reversal of 3439644 is 4469343.

3439644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439643) 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 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 3300.

It is an arithmetic number, because the mean of its divisors is an integer number (190806).

Almost surely, 23439644 is an apocalyptic number.

3439644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3439644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579344).

3439644 is an abundant number, since it is smaller than the sum of its proper divisors (5719044).

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

3439644 is a wasteful number, since it uses less digits than its factorization.

3439644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1332 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3439644 is about 1854.6277254479. The cubic root of 3439644 is about 150.9516386800.

The spelling of 3439644 in words is "three million, four hundred thirty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1297 1326 2594 2652 3891 5188 7782 15564 16861 22049 33722 44098 50583 66147 67444 88196 101166 132294 202332 264588 286637 573274 859911 1146548 1719822 3439644