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11348424 = 233483211
BaseRepresentation
bin101011010010…
…100111001000
3210100120010000
4223102213020
510401122144
61043123000
7165313533
oct53224710
923316100
1011348424
11645126a
123973460
132474559
141715a1a
15ee2769
hexad29c8

11348424 has 80 divisors (see below), whose sum is σ = 32321520. Its totient is φ = 3719520.

The previous prime is 11348423. The next prime is 11348443. The reversal of 11348424 is 42484311.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11348423) 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 19 ways as a sum of consecutive naturals, for example, 53679 + ... + 53889.

It is an arithmetic number, because the mean of its divisors is an integer number (404019).

Almost surely, 211348424 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 11348424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160760).

11348424 is an abundant number, since it is smaller than the sum of its proper divisors (20973096).

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

11348424 is a wasteful number, since it uses less digits than its factorization.

11348424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 11348424 is about 3368.7421985067. The cubic root of 11348424 is about 224.7217894702.

The spelling of 11348424 in words is "eleven million, three hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 211 216 249 324 332 422 498 633 648 664 747 844 996 1266 1494 1688 1899 1992 2241 2532 2988 3798 4482 5064 5697 5976 6723 7596 8964 11394 13446 15192 17091 17513 17928 22788 26892 34182 35026 45576 52539 53784 68364 70052 105078 136728 140104 157617 210156 315234 420312 472851 630468 945702 1260936 1418553 1891404 2837106 3782808 5674212 11348424