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11310304 = 251721223
BaseRepresentation
bin101011001001…
…010011100000
3210021121211011
4223021103200
510343412204
61042230304
7165064435
oct53112340
923247734
1011310304
116425665
123955394
1324600b5
141705b8c
15ed6304
hexac94e0

11310304 has 36 divisors (see below), whose sum is σ = 23673384. Its totient is φ = 5318144.

The previous prime is 11310281. The next prime is 11310307. The reversal of 11310304 is 40301311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8637 + ... + 9859.

It is an arithmetic number, because the mean of its divisors is an integer number (657594).

Almost surely, 211310304 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 11310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836692).

11310304 is an abundant number, since it is smaller than the sum of its proper divisors (12363080).

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

11310304 is a wasteful number, since it uses less digits than its factorization.

11310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11310304 is about 3363.0795411349. The cubic root of 11310304 is about 224.4698894642.

Adding to 11310304 its reverse (40301311), we get a palindrome (51611615).

The spelling of 11310304 in words is "eleven million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 1223 2312 2446 4624 4892 9248 9784 19568 20791 39136 41582 83164 166328 332656 353447 665312 706894 1413788 2827576 5655152 11310304