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11412384 = 253532243
BaseRepresentation
bin101011100010…
…001110100000
3210110210211220
4223202032200
510410144014
61044335040
7166001154
oct53421640
923423756
1011412384
116495325
1239a4480
1324976b9
141731064
1510066a9
hexae23a0

11412384 has 48 divisors (see below), whose sum is σ = 30536352. Its totient is φ = 3730688.

The previous prime is 11412367. The next prime is 11412403. The reversal of 11412384 is 48321411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a nude number because it is divisible by every one of its digits.

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, 3967 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 211412384 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 11412384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268176).

11412384 is an abundant number, since it is smaller than the sum of its proper divisors (19123968).

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

11412384 is a wasteful number, since it uses less digits than its factorization.

11412384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2301 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 11412384 is about 3378.2220175708. Note that the first 3 decimals coincide. The cubic root of 11412384 is about 225.1431780056.

Adding to 11412384 its reverse (48321411), we get a palindrome (59733795).

The spelling of 11412384 in words is "eleven million, four hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2243 2544 4486 5088 6729 8972 13458 17944 26916 35888 53832 71776 107664 118879 215328 237758 356637 475516 713274 951032 1426548 1902064 2853096 3804128 5706192 11412384