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13840384 = 21231109
BaseRepresentation
bin110100110011…
…000000000000
3222001011102211
4310303000000
512020343014
61212351504
7225432655
oct64630000
928034384
1013840384
1178a3538
124775594
132b3789c
141ba3c2c
151335cc4
hexd33000

13840384 has 52 divisors (see below), whose sum is σ = 28832320. Its totient is φ = 6635520.

The previous prime is 13840381. The next prime is 13840399. The reversal of 13840384 is 48304831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13840381) 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 3 ways as a sum of consecutive naturals, for example, 126922 + ... + 127030.

Almost surely, 213840384 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 13840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416160).

13840384 is an abundant number, since it is smaller than the sum of its proper divisors (14991936).

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

13840384 is an equidigital number, since it uses as much as digits as its factorization.

13840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 13840384 is about 3720.2666571094. The cubic root of 13840384 is about 240.0947773818.

The spelling of 13840384 in words is "thirteen million, eight hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 109 124 128 218 248 256 436 496 512 872 992 1024 1744 1984 2048 3379 3488 3968 4096 6758 6976 7936 13516 13952 15872 27032 27904 31744 54064 55808 63488 108128 111616 126976 216256 223232 432512 446464 865024 1730048 3460096 6920192 13840384