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11304496 = 247214419
BaseRepresentation
bin101011000111…
…111000110000
3210021022212001
4223013320300
510343220441
61042143344
7165041500
oct53077060
923238761
1011304496
116421265
123951b54
13245a568
141703a00
15ed4731
hexac7e30

11304496 has 30 divisors (see below), whose sum is σ = 25480140. Its totient is φ = 4844448.

The previous prime is 11304493. The next prime is 11304509. The reversal of 11304496 is 69440311.

11304496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113044963 (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11304493) 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, 6426 + ... + 7993.

It is an arithmetic number, because the mean of its divisors is an integer number (849338).

Almost surely, 211304496 is an apocalyptic number.

11304496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11304496 is an abundant number, since it is smaller than the sum of its proper divisors (14175644).

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

11304496 is a wasteful number, since it uses less digits than its factorization.

11304496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14441 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 11304496 is about 3362.2159359565. The cubic root of 11304496 is about 224.4314600715.

The spelling of 11304496 in words is "eleven million, three hundred four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 14419 28838 57676 100933 115352 201866 230704 403732 706531 807464 1413062 1614928 2826124 5652248 11304496