Search a number
-
+
21346304 = 21171489
BaseRepresentation
bin101000101101…
…1100000000000
31111011111121212
41101123200000
520431040204
62041305252
7346304060
oct121334000
944144555
1021346304
111105a881
127195228
134565165
142b993a0
151d19c6e
hex145b800

21346304 has 48 divisors (see below), whose sum is σ = 48812400. Its totient is φ = 9142272.

The previous prime is 21346301. The next prime is 21346307. The reversal of 21346304 is 40364312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21346301) and next prime (21346307).

It is a self number, because there is not a number n which added to its sum of digits gives 21346304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13592 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (1016925).

Almost surely, 221346304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406200).

21346304 is an abundant number, since it is smaller than the sum of its proper divisors (27466096).

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

21346304 is an equidigital number, since it uses as much as digits as its factorization.

21346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 21346304 is about 4620.2060560109. The cubic root of 21346304 is about 277.4007068398.

The spelling of 21346304 in words is "twenty-one million, three hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1489 1792 2048 2978 3584 5956 7168 10423 11912 14336 20846 23824 41692 47648 83384 95296 166768 190592 333536 381184 667072 762368 1334144 1524736 2668288 3049472 5336576 10673152 21346304