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21340000032 = 2531327896131
BaseRepresentation
bin10011110111111101…
…101000111100100000
32001002012222022201120
4103313331220330200
5322201020000112
613445314132240
71353553002351
oct236775507440
961065868646
1021340000032
11906096796a
124176881080
1320211a9470
141066259d28
1584d70ce8c
hex4f7f68f20

21340000032 has 96 divisors (see below), whose sum is σ = 60358011840. Its totient is φ = 6562728960.

The previous prime is 21340000027. The next prime is 21340000049. The reversal of 21340000032 is 23000004312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21339999966 and 21340000020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477607 + ... + 3483737.

It is an arithmetic number, because the mean of its divisors is an integer number (628729290).

Almost surely, 221340000032 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 21340000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30179005920).

21340000032 is an abundant number, since it is smaller than the sum of its proper divisors (39018011808).

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

21340000032 is a wasteful number, since it uses less digits than its factorization.

21340000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21340000032 its reverse (23000004312), we get a palindrome (44340004344).

The spelling of 21340000032 in words is "twenty-one billion, three hundred forty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2789 5578 6131 8367 11156 12262 16734 18393 22312 24524 33468 36257 36786 44624 49048 66936 72514 73572 79703 89248 98096 108771 133872 145028 147144 159406 196192 217542 239109 267744 290056 294288 318812 435084 478218 580112 588576 637624 870168 956436 1160224 1275248 1740336 1912872 2550496 3480672 3825744 7651488 17099359 34198718 51298077 68397436 102596154 136794872 205192308 222291667 273589744 410384616 444583334 547179488 666875001 820769232 889166668 1333750002 1641538464 1778333336 2667500004 3556666672 5335000008 7113333344 10670000016 21340000032