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11000304 = 2432721559
BaseRepresentation
bin101001111101…
…100111110000
3202200212120200
4221331213300
510304002204
61031435200
7162333600
oct51754760
922625520
1011000304
116233767
123825b00
132381c73
141664c00
15e74539
hexa7d9f0

11000304 has 90 divisors (see below), whose sum is σ = 35834760. Its totient is φ = 3140928.

The previous prime is 11000299. The next prime is 11000347. The reversal of 11000304 is 40300011.

It is a super-3 number, since 3×110003043 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6277 + ... + 7835.

It is an arithmetic number, because the mean of its divisors is an integer number (398164).

Almost surely, 211000304 is an apocalyptic number.

11000304 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 11000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17917380).

11000304 is an abundant number, since it is smaller than the sum of its proper divisors (24834456).

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

11000304 is a wasteful number, since it uses less digits than its factorization.

11000304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11000304 is about 3316.6706197631. The cubic root of 11000304 is about 222.4000577955.

Adding to 11000304 its reverse (40300011), we get a palindrome (51300315).

The spelling of 11000304 in words is "eleven million, three hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1559 1764 2352 3118 3528 4677 6236 7056 9354 10913 12472 14031 18708 21826 24944 28062 32739 37416 43652 56124 65478 74832 76391 87304 98217 112248 130956 152782 174608 196434 224496 229173 261912 305564 392868 458346 523824 611128 687519 785736 916692 1222256 1375038 1571472 1833384 2750076 3666768 5500152 11000304