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11300304 = 243475009
BaseRepresentation
bin101011000110…
…110111010000
3210021010002210
4223012313100
510343102204
61042112120
7165023331
oct53066720
923233083
1011300304
1164190a4
12394b640
132458692
141702288
15ed3389
hexac6dd0

11300304 has 40 divisors (see below), whose sum is σ = 29819520. Its totient is φ = 3685888.

The previous prime is 11300293. The next prime is 11300353. The reversal of 11300304 is 40300311.

11300304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11300304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (745488).

Almost surely, 211300304 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 11300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909760).

11300304 is an abundant number, since it is smaller than the sum of its proper divisors (18519216).

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

11300304 is a wasteful number, since it uses less digits than its factorization.

11300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11300304 is about 3361.5924797631. The cubic root of 11300304 is about 224.4037149750.

Adding to 11300304 its reverse (40300311), we get a palindrome (51600615).

The spelling of 11300304 in words is "eleven million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5009 10018 15027 20036 30054 40072 60108 80144 120216 235423 240432 470846 706269 941692 1412538 1883384 2825076 3766768 5650152 11300304