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11304192 = 28341359
BaseRepresentation
bin101011000111…
…110100000000
3210021022102210
4223013310000
510343213232
61042142120
7165040554
oct53076400
923238383
1011304192
116421009
123951940
13245a393
141703864
15ed45cc
hexac7d00

11304192 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3665920.

The previous prime is 11304179. The next prime is 11304193. The reversal of 11304192 is 29140311.

It is a super-3 number, since 3×113041923 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31309 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 211304192 is an apocalyptic number.

11304192 is a gapful number since it is divisible by the number (12) 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 11304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

11304192 is an abundant number, since it is smaller than the sum of its proper divisors (19601088).

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

11304192 is an equidigital number, since it uses as much as digits as its factorization.

11304192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11304192 is about 3362.1707273724. The cubic root of 11304192 is about 224.4294482532.

The spelling of 11304192 in words is "eleven million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 359 384 492 656 718 768 984 1077 1312 1436 1968 2154 2624 2872 3936 4308 5248 5744 7872 8616 10496 11488 14719 15744 17232 22976 29438 31488 34464 44157 45952 58876 68928 88314 91904 117752 137856 176628 235504 275712 353256 471008 706512 942016 1413024 1884032 2826048 3768064 5652096 11304192