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21344312 = 2311594111
BaseRepresentation
bin101000101101…
…1000000111000
31111011101220002
41101123000320
520431004222
62041252132
7346265213
oct121330070
944141802
1021344312
1111059330
127194048
134564292
142b9877a
151d19392
hex145b038

21344312 has 32 divisors (see below), whose sum is σ = 44409600. Its totient is φ = 9535200.

The previous prime is 21344311. The next prime is 21344339.

21344312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3137 + ... + 7247.

It is an arithmetic number, because the mean of its divisors is an integer number (1387800).

Almost surely, 221344312 is an apocalyptic number.

21344312 is a gapful number since it is divisible by the number (22) 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 21344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204800).

21344312 is an abundant number, since it is smaller than the sum of its proper divisors (23065288).

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

21344312 is a wasteful number, since it uses less digits than its factorization.

21344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4183 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 21344312 is about 4619.9904761807. The cubic root of 21344312 is about 277.3920777207.

It can be divided in two parts, 2134 and 4312, that added together give a palindrome (6446).

The spelling of 21344312 in words is "twenty-one million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2596 4111 5192 8222 16444 32888 45221 90442 180884 242549 361768 485098 970196 1940392 2668039 5336078 10672156 21344312