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21343434320 = 2451320522533
BaseRepresentation
bin10011111000001010…
…101111011001010000
32001002110102210200102
4103320022233121100
5322202404344240
613445515511532
71353624125015
oct237012573120
961073383612
1021343434320
1190628a311a
124177a585a8
132021b0c6a0
1410668b170c
1584db8a815
hex4f82af650

21343434320 has 40 divisors (see below), whose sum is σ = 53440678536. Its totient is φ = 7880652288.

The previous prime is 21343434317. The next prime is 21343434323. The reversal of 21343434320 is 2343434312.

It is an interprime number because it is at equal distance from previous prime (21343434317) and next prime (21343434323).

It can be written as a sum of positive squares in 4 ways, for example, as 2447083024 + 18896351296 = 49468^2 + 137464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343434323) 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 7 ways as a sum of consecutive naturals, for example, 10260227 + ... + 10262306.

Almost surely, 221343434320 is an apocalyptic number.

21343434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21343434320 is an abundant number, since it is smaller than the sum of its proper divisors (32097244216).

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

21343434320 is a wasteful number, since it uses less digits than its factorization.

21343434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522559 (or 20522553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 21343434320 its reverse (2343434312), we get a palindrome (23686868632).

The spelling of 21343434320 in words is "twenty-one billion, three hundred forty-three million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 20522533 41045066 82090132 102612665 164180264 205225330 266792929 328360528 410450660 533585858 820901320 1067171716 1333964645 1641802640 2134343432 2667929290 4268686864 5335858580 10671717160 21343434320