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21344064 = 263715881
BaseRepresentation
bin101000101101…
…0111101000000
31111011101112220
41101122331000
520431002224
62041251040
7346264410
oct121327500
944141486
1021344064
1111059125
127193a80
134564131
142b98640
151d19279
hex145af40

21344064 has 56 divisors (see below), whose sum is σ = 64544448. Its totient is φ = 6097920.

The previous prime is 21344051. The next prime is 21344077. The reversal of 21344064 is 46044312.

It is an interprime number because it is at equal distance from previous prime (21344051) and next prime (21344077).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6597 + ... + 9284.

Almost surely, 221344064 is an apocalyptic number.

21344064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21344064 is an abundant number, since it is smaller than the sum of its proper divisors (43200384).

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

21344064 is a wasteful number, since it uses less digits than its factorization.

21344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903 (or 15893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 21344064 is about 4619.9636362205. The cubic root of 21344064 is about 277.3910033752.

Adding to 21344064 its reverse (46044312), we get a palindrome (67388376).

It can be divided in two parts, 21 and 344064, that multiplied together give a square (7225344 = 26882).

The spelling of 21344064 in words is "twenty-one million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15881 31762 47643 63524 95286 111167 127048 190572 222334 254096 333501 381144 444668 508192 667002 762288 889336 1016384 1334004 1524576 1778672 2668008 3049152 3557344 5336016 7114688 10672032 21344064