Search a number
-
+
21304546340 = 2257311476007
BaseRepresentation
bin10011110101110110…
…011001010000100100
32000222202021002101212
4103311312121100210
5322112430440330
613442010210552
71352642441000
oct236566312044
960882232355
1021304546340
119042951aa0
124166a23a58
132016a4504c
14106166b700
1584a558295
hex4f5d99424

21304546340 has 192 divisors, whose sum is σ = 58138214400. Its totient is φ = 6498011520.

The previous prime is 21304546337. The next prime is 21304546349. The reversal of 21304546340 is 4364540312.

It is a junction number, because it is equal to n+sod(n) for n = 21304546297 and 21304546306.

It is not an unprimeable number, because it can be changed into a prime (21304546349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3543617 + ... + 3549623.

It is an arithmetic number, because the mean of its divisors is an integer number (302803200).

Almost surely, 221304546340 is an apocalyptic number.

21304546340 is a gapful number since it is divisible by the number (20) 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 21304546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29069107200).

21304546340 is an abundant number, since it is smaller than the sum of its proper divisors (36833668060).

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

21304546340 is a wasteful number, since it uses less digits than its factorization.

21304546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 21304546340 in words is "twenty-one billion, three hundred four million, five hundred forty-six thousand, three hundred forty".