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2065344 = 26331347
BaseRepresentation
bin111111000001111000000
310212221010020
413320033000
51012042334
6112133440
723361261
oct7701700
93787106
102065344
1111907a6
12837280
135740c8
143ba968
152abe49
hex1f83c0

2065344 has 56 divisors (see below), whose sum is σ = 5657088. Its totient is φ = 664320.

The previous prime is 2065309. The next prime is 2065363. The reversal of 2065344 is 4435602.

2065344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 215 + 0 + 66 + 59 + 33 + 47 + 47 .

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5779 + ... + 6125.

22065344 is an apocalyptic number.

2065344 is a gapful number since it is divisible by the number (24) 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 2065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828544).

2065344 is an abundant number, since it is smaller than the sum of its proper divisors (3591744).

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

2065344 is a wasteful number, since it uses less digits than its factorization.

2065344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2065344 is about 1437.1304742437. The cubic root of 2065344 is about 127.3495649809.

The spelling of 2065344 in words is "two million, sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 347 372 496 694 744 992 1041 1388 1488 1984 2082 2776 2976 4164 5552 5952 8328 10757 11104 16656 21514 22208 32271 33312 43028 64542 66624 86056 129084 172112 258168 344224 516336 688448 1032672 2065344