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4081344 = 26329733
BaseRepresentation
bin1111100100011011000000
321200100112220
433210123000
52021100334
6223251040
746455651
oct17443300
97610486
104081344
112338413
121449a80
13acb8c7
14783528
15559449
hex3e46c0

4081344 has 56 divisors (see below), whose sum is σ = 11186160. Its totient is φ = 1311744.

The previous prime is 4081331. The next prime is 4081351. The reversal of 4081344 is 4431804.

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

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, 5202 + ... + 5934.

Almost surely, 24081344 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 4081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593080).

4081344 is an abundant number, since it is smaller than the sum of its proper divisors (7104816).

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

4081344 is a wasteful number, since it uses less digits than its factorization.

4081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4081344 is about 2020.2336498534. The cubic root of 4081344 is about 159.8089386046.

The spelling of 4081344 in words is "four million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 733 928 1392 1466 1856 2199 2784 2932 4398 5568 5864 8796 11728 17592 21257 23456 35184 42514 46912 63771 70368 85028 127542 140736 170056 255084 340112 510168 680224 1020336 1360448 2040672 4081344