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11340576 = 2532132233
BaseRepresentation
bin101011010000…
…101100100000
3210100011100100
4223100230200
510400344301
61043022400
7165251622
oct53205440
923304310
1011340576
116446385
12396aa00
132470b00
141712c12
15ee0286
hexad0b20

11340576 has 108 divisors (see below), whose sum is σ = 35071218. Its totient is φ = 3474432.

The previous prime is 11340551. The next prime is 11340577. The reversal of 11340576 is 67504311.

It can be written as a sum of positive squares in 3 ways, for example, as 3920400 + 7420176 = 1980^2 + 2724^2 .

It is not an unprimeable number, because it can be changed into a prime (11340577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48556 + ... + 48788.

Almost surely, 211340576 is an apocalyptic number.

11340576 is a gapful number since it is divisible by the number (16) 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 11340576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535609).

11340576 is an abundant number, since it is smaller than the sum of its proper divisors (23730642).

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

11340576 is a wasteful number, since it uses less digits than its factorization.

11340576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 11340576 is about 3367.5771706080. The cubic root of 11340576 is about 224.6699754238.

Adding to 11340576 its reverse (67504311), we get a palindrome (78844887).

The spelling of 11340576 in words is "eleven million, three hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 233 234 288 312 338 416 466 468 507 624 676 699 932 936 1014 1248 1352 1398 1521 1864 1872 2028 2097 2704 2796 3029 3042 3728 3744 4056 4194 5408 5592 6058 6084 7456 8112 8388 9087 11184 12116 12168 16224 16776 18174 22368 24232 24336 27261 33552 36348 39377 48464 48672 54522 67104 72696 78754 96928 109044 118131 145392 157508 218088 236262 290784 315016 354393 436176 472524 630032 708786 872352 945048 1260064 1417572 1890096 2835144 3780192 5670288 11340576