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11814348 = 22371331349
BaseRepresentation
bin101101000100…
…010111001100
3211020020020110
4231010113030
511011024343
61101120020
7202264110
oct55042714
924206213
1011814348
11673a327
123b59010
1325a8650
1417d7740
151085833
hexb445cc

11814348 has 96 divisors (see below), whose sum is σ = 35123200. Its totient is φ = 3006720.

The previous prime is 11814347. The next prime is 11814353. The reversal of 11814348 is 84341811.

It is not an unprimeable number, because it can be changed into a prime (11814347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33678 + ... + 34026.

Almost surely, 211814348 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 11814348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561600).

11814348 is an abundant number, since it is smaller than the sum of its proper divisors (23308852).

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

11814348 is a wasteful number, since it uses less digits than its factorization.

11814348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 11814348 is about 3437.2006051437. The cubic root of 11814348 is about 227.7560487083.

The spelling of 11814348 in words is "eleven million, eight hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 349 364 372 403 434 546 651 698 806 868 1047 1092 1209 1302 1396 1612 2094 2418 2443 2604 2821 4188 4537 4836 4886 5642 7329 8463 9074 9772 10819 11284 13611 14658 16926 18148 21638 27222 29316 31759 32457 33852 43276 54444 63518 64914 75733 95277 127036 129828 140647 151466 190554 227199 281294 302932 381108 421941 454398 562588 843882 908796 984529 1687764 1969058 2953587 3938116 5907174 11814348