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11304524 = 22711172127
BaseRepresentation
bin101011000111…
…111001001100
3210021022220002
4223013321030
510343221044
61042143432
7165041540
oct53077114
923238802
1011304524
116421290
123951b78
13245a58a
141703a20
15ed474e
hexac7e4c

11304524 has 72 divisors (see below), whose sum is σ = 26406912. Its totient is φ = 4112640.

The previous prime is 11304521. The next prime is 11304547. The reversal of 11304524 is 42540311.

It is a super-3 number, since 3×113045243 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304496 and 11304505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88949 + ... + 89075.

Almost surely, 211304524 is an apocalyptic number.

11304524 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 11304524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203456).

11304524 is an abundant number, since it is smaller than the sum of its proper divisors (15102388).

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

11304524 is a wasteful number, since it uses less digits than its factorization.

11304524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11304524 is about 3362.2200998745. The cubic root of 11304524 is about 224.4316453687.

Adding to 11304524 its reverse (42540311), we get a palindrome (53844835).

The spelling of 11304524 in words is "eleven million, three hundred four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 127 154 187 238 254 289 308 374 476 508 578 748 889 1156 1309 1397 1778 2023 2159 2618 2794 3179 3556 4046 4318 5236 5588 6358 8092 8636 9779 12716 15113 19558 22253 23749 30226 36703 39116 44506 47498 60452 73406 89012 94996 146812 166243 256921 332486 403733 513842 664972 807466 1027684 1614932 2826131 5652262 11304524