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21344076 = 22321359773
BaseRepresentation
bin101000101101…
…0111101001100
31111011101120100
41101122331030
520431002301
62041251100
7346264425
oct121327514
944141510
1021344076
1111059136
127193a90
134564140
142b9864c
151d19286
hex145af4c

21344076 has 72 divisors (see below), whose sum is σ = 59164560. Its totient is φ = 6447744.

The previous prime is 21344051. The next prime is 21344077. The reversal of 21344076 is 67044312.

21344076 is a `hidden beast` number, since 213 + 440 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (21344077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27226 + ... + 27998.

It is an arithmetic number, because the mean of its divisors is an integer number (821730).

Almost surely, 221344076 is an apocalyptic number.

21344076 is a gapful number since it is divisible by the number (26) 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 21344076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582280).

21344076 is an abundant number, since it is smaller than the sum of its proper divisors (37820484).

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

21344076 is a wasteful number, since it uses less digits than its factorization.

21344076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 21344076 is about 4619.9649349319. The cubic root of 21344076 is about 277.3910553598.

Adding to 21344076 its reverse (67044312), we get a palindrome (88388388).

The spelling of 21344076 in words is "twenty-one million, three hundred forty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 773 1062 1534 1546 2124 2301 2319 3068 3092 4602 4638 6903 6957 9204 9276 10049 13806 13914 20098 27612 27828 30147 40196 45607 60294 90441 91214 120588 136821 180882 182428 273642 361764 410463 547284 592891 820926 1185782 1641852 1778673 2371564 3557346 5336019 7114692 10672038 21344076