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21301344 = 2532371999
BaseRepresentation
bin101000101000…
…0100001100000
31111002012221200
41101100201200
520423120334
62040321200
7346026021
oct121204140
944065850
1021301344
111102a019
127173200
13454a85c
142b86c48
151d0b799
hex1450860

21301344 has 72 divisors (see below), whose sum is σ = 62244000. Its totient is φ = 6905088.

The previous prime is 21301339. The next prime is 21301361. The reversal of 21301344 is 44310312.

21301344 is a `hidden beast` number, since 21 + 301 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9657 + ... + 11655.

It is an arithmetic number, because the mean of its divisors is an integer number (864500).

Almost surely, 221301344 is an apocalyptic number.

21301344 is a gapful number since it is divisible by the number (24) 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 21301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122000).

21301344 is an abundant number, since it is smaller than the sum of its proper divisors (40942656).

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

21301344 is a wasteful number, since it uses less digits than its factorization.

21301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21301344 is about 4615.3379074560. The cubic root of 21301344 is about 277.2058143618.

Adding to 21301344 its reverse (44310312), we get a palindrome (65611656).

The spelling of 21301344 in words is "twenty-one million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 1999 2664 3552 3998 5328 5997 7996 10656 11994 15992 17991 23988 31984 35982 47976 63968 71964 73963 95952 143928 147926 191904 221889 287856 295852 443778 575712 591704 665667 887556 1183408 1331334 1775112 2366816 2662668 3550224 5325336 7100448 10650672 21301344