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21347406 = 2323167571
BaseRepresentation
bin101000101101…
…1110001001110
31111011120010200
41101123301032
520431104111
62041314330
7346310223
oct121336116
944146120
1021347406
1111060693
1271959a6
134565802
142b9994a
151d1a256
hex145bc4e

21347406 has 48 divisors (see below), whose sum is σ = 48542208. Its totient is φ = 6771600.

The previous prime is 21347371. The next prime is 21347419. The reversal of 21347406 is 60474312.

21347406 is a `hidden beast` number, since 213 + 47 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21347406.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 37101 + ... + 37671.

It is an arithmetic number, because the mean of its divisors is an integer number (1011296).

Almost surely, 221347406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21347406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271104).

21347406 is an abundant number, since it is smaller than the sum of its proper divisors (27194802).

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

21347406 is a wasteful number, since it uses less digits than its factorization.

21347406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

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

The square root of 21347406 is about 4620.3253132220. The cubic root of 21347406 is about 277.4054803488.

The spelling of 21347406 in words is "twenty-one million, three hundred forty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 571 603 1142 1206 1713 2077 3426 4154 5139 6231 10278 12462 17701 18693 35402 37386 38257 53103 76514 106206 114771 159309 229542 318618 344313 688626 1185967 2371934 3557901 7115802 10673703 21347406