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11304104 = 237228837
BaseRepresentation
bin101011000111…
…110010101000
3210021022022112
4223013302220
510343212404
61042141452
7165040400
oct53076250
923238275
1011304104
116420a39
123951888
13245a326
141703800
15ed456e
hexac7ca8

11304104 has 24 divisors (see below), whose sum is σ = 24656490. Its totient is φ = 4844448.

The previous prime is 11304103. The next prime is 11304131. The reversal of 11304104 is 40140311.

11304104 = T117 + T118 + ... + T410.

It is a happy number.

11304104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9060100 + 2244004 = 3010^2 + 1498^2 .

It is a super-3 number, since 3×113041043 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11304101) 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, 14027 + ... + 14810.

Almost surely, 211304104 is an apocalyptic number.

11304104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11304104 is an abundant number, since it is smaller than the sum of its proper divisors (13352386).

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

11304104 is a wasteful number, since it uses less digits than its factorization.

11304104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28857 (or 28846 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11304104 is about 3362.1576405636. The cubic root of 11304104 is about 224.4288658780.

Adding to 11304104 its reverse (40140311), we get a palindrome (51444415).

The spelling of 11304104 in words is "eleven million, three hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 28837 57674 115348 201859 230696 403718 807436 1413013 1614872 2826026 5652052 11304104