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11408364 = 223511297
BaseRepresentation
bin101011100001…
…001111101100
3210110121100000
4223201033230
510410031424
61044304300
7165653352
oct53411754
923417300
1011408364
116492300
1239a2090
132495916
14172d7d2
1510053c9
hexae13ec

11408364 has 108 divisors (see below), whose sum is σ = 33210632. Its totient is φ = 3421440.

The previous prime is 11408359. The next prime is 11408381. The reversal of 11408364 is 46380411.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117564 + ... + 117660.

Almost surely, 211408364 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 11408364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605316).

11408364 is an abundant number, since it is smaller than the sum of its proper divisors (21802268).

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

11408364 is a wasteful number, since it uses less digits than its factorization.

11408364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11408364 is about 3377.6269776279. The cubic root of 11408364 is about 225.1167394202.

Adding to 11408364 its reverse (46380411), we get a palindrome (57788775).

The spelling of 11408364 in words is "eleven million, four hundred eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 97 99 108 121 132 162 194 198 242 243 291 297 324 363 388 396 484 486 582 594 726 873 891 972 1067 1089 1164 1188 1452 1746 1782 2134 2178 2619 2673 3201 3267 3492 3564 4268 4356 5238 5346 6402 6534 7857 9603 9801 10476 10692 11737 12804 13068 15714 19206 19602 23474 23571 28809 29403 31428 35211 38412 39204 46948 47142 57618 58806 70422 86427 94284 105633 115236 117612 140844 172854 211266 259281 316899 345708 422532 518562 633798 950697 1037124 1267596 1901394 2852091 3802788 5704182 11408364