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2013444 = 2233103181
BaseRepresentation
bin111101011100100000100
310210021221000
413223210010
51003412234
6111053300
723054046
oct7534404
93707830
102013444
111155804
12811230
135565b4
143a5a96
1529b899
hex1eb904

2013444 has 48 divisors (see below), whose sum is σ = 5299840. Its totient is φ = 660960.

The previous prime is 2013439. The next prime is 2013457. The reversal of 2013444 is 4443102.

2013444 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20134442 = 8107913482272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11034 + ... + 11214.

22013444 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 2013444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649920).

2013444 is an abundant number, since it is smaller than the sum of its proper divisors (3286396).

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

2013444 is a wasteful number, since it uses less digits than its factorization.

2013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013444 is about 1418.9587731855. The cubic root of 2013444 is about 126.2737810968.

Adding to 2013444 its reverse (4443102), we get a palindrome (6456546).

The spelling of 2013444 in words is "two million, thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 181 206 309 362 412 543 618 724 927 1086 1236 1629 1854 2172 2781 3258 3708 4887 5562 6516 9774 11124 18643 19548 37286 55929 74572 111858 167787 223716 335574 503361 671148 1006722 2013444