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11411344 = 247139733
BaseRepresentation
bin101011100001…
…111110010000
3210110202102101
4223201332100
510410130334
61044330144
7165665140
oct53417620
923422371
1011411344
11649456a
1239a3954
132497099
141730920
151006214
hexae1f90

11411344 has 40 divisors (see below), whose sum is σ = 25484480. Its totient is φ = 4848768.

The previous prime is 11411339. The next prime is 11411347. The reversal of 11411344 is 44311411.

11411344 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11411344 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (11411347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15202 + ... + 15934.

It is an arithmetic number, because the mean of its divisors is an integer number (637112).

Almost surely, 211411344 is an apocalyptic number.

11411344 is a gapful number since it is divisible by the number (14) 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 11411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742240).

11411344 is an abundant number, since it is smaller than the sum of its proper divisors (14073136).

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

11411344 is a wasteful number, since it uses less digits than its factorization.

11411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 11411344 is about 3378.0680869396. The cubic root of 11411344 is about 225.1363387680.

Adding to 11411344 its reverse (44311411), we get a palindrome (55722755).

It can be divided in two parts, 1141 and 1344, that added together give a triangular number (2485 = T70).

The spelling of 11411344 in words is "eleven million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 733 973 1112 1466 1946 2224 2932 3892 5131 5864 7784 10262 11728 15568 20524 41048 82096 101887 203774 407548 713209 815096 1426418 1630192 2852836 5705672 11411344