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11429344 = 252353293
BaseRepresentation
bin101011100110…
…010111100000
3210111200010001
4223212113200
510411214334
61044545344
7166101463
oct53462740
923450101
1011429344
1164a7043
1239b2254
1324a2334
1417372da
15100b714
hexae65e0

11429344 has 48 divisors (see below), whose sum is σ = 24004512. Its totient is φ = 5344768.

The previous prime is 11429339. The next prime is 11429371. The reversal of 11429344 is 44392411.

11429344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 38862 + ... + 39154.

It is an arithmetic number, because the mean of its divisors is an integer number (500094).

Almost surely, 211429344 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 11429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002256).

11429344 is an abundant number, since it is smaller than the sum of its proper divisors (12575168).

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

11429344 is a wasteful number, since it uses less digits than its factorization.

11429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 11429344 is about 3380.7312818383. The cubic root of 11429344 is about 225.2546515981.

The spelling of 11429344 in words is "eleven million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 293 368 424 586 736 848 1172 1219 1696 2344 2438 4688 4876 6739 9376 9752 13478 15529 19504 26956 31058 39008 53912 62116 107824 124232 215648 248464 357167 496928 714334 1428668 2857336 5714672 11429344