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3384444 = 223743937
BaseRepresentation
bin1100111010010001111100
320100221120210
430322101330
51331300234
6200312420
740524120
oct14722174
96327523
103384444
111a01868
121172710
1391663b
14641580
1546cbe9
hex33a47c

3384444 has 48 divisors (see below), whose sum is σ = 9244928. Its totient is φ = 943488.

The previous prime is 3384431. The next prime is 3384461. The reversal of 3384444 is 4444833.

It is a super-2 number, since 2×33844442 = 22908922378272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144 + ... + 4080.

Almost surely, 23384444 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 3384444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622464).

3384444 is an abundant number, since it is smaller than the sum of its proper divisors (5860484).

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

3384444 is a wasteful number, since it uses less digits than its factorization.

3384444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 992 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3384444 is about 1839.6858427460. The cubic root of 3384444 is about 150.1397808128.

It can be divided in two parts, 3384 and 444, that added together give a triangular number (3828 = T87).

The spelling of 3384444 in words is "three million, three hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 937 1204 1806 1874 2811 3612 3748 5622 6559 11244 13118 19677 26236 39354 40291 78708 80582 120873 161164 241746 282037 483492 564074 846111 1128148 1692222 3384444