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21348144 = 243349417
BaseRepresentation
bin101000101101…
…1111100110000
31111011121011000
41101123330300
520431120034
62041322000
7346312326
oct121337460
944147130
1021348144
11110611a4
127196300
134565c4c
142b99d16
151d1a599
hex145bf30

21348144 has 40 divisors (see below), whose sum is σ = 61278320. Its totient is φ = 7115904.

The previous prime is 21348133. The next prime is 21348161. The reversal of 21348144 is 44184312.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24277 + ... + 25140.

It is an arithmetic number, because the mean of its divisors is an integer number (1531958).

Almost surely, 221348144 is an apocalyptic number.

21348144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21348144 is an abundant number, since it is smaller than the sum of its proper divisors (39930176).

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

21348144 is a wasteful number, since it uses less digits than its factorization.

21348144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49434 (or 49422 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 21348144 is about 4620.4051770380. The cubic root of 21348144 is about 277.4086770351.

The spelling of 21348144 in words is "twenty-one million, three hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 49417 98834 148251 197668 296502 395336 444753 593004 790672 889506 1186008 1334259 1779012 2372016 2668518 3558024 5337036 7116048 10674072 21348144