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11346048 = 27337267
BaseRepresentation
bin101011010010…
…000010000000
3210100102212000
4223102002000
510401033143
61043104000
7165303600
oct53220200
923312760
1011346048
11644a4aa
123972000
13247344c
141714c00
15ee1bd3
hexad2080

11346048 has 192 divisors, whose sum is σ = 39535200. Its totient is φ = 3193344.

The previous prime is 11346043. The next prime is 11346079. The reversal of 11346048 is 84064311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11346043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169311 + ... + 169377.

Almost surely, 211346048 is an apocalyptic number.

11346048 is a gapful number since it is divisible by the number (18) 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 11346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767600).

11346048 is an abundant number, since it is smaller than the sum of its proper divisors (28189152).

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

11346048 is an equidigital number, since it uses as much as digits as its factorization.

11346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 11346048 is about 3368.3895261683. The cubic root of 11346048 is about 224.7061051708.

The spelling of 11346048 in words is "eleven million, three hundred forty-six thousand, forty-eight".