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20343330 = 232573659
BaseRepresentation
bin100110110011…
…0101000100010
31102021112210200
41031212220202
520201441310
62004010030
7334626000
oct115465042
942245720
1020343330
1110535277
126990916
1342a3797
1429b7a70
151bbc9c0
hex1366a22

20343330 has 96 divisors (see below), whose sum is σ = 61776000. Its totient is φ = 4642848.

The previous prime is 20343329. The next prime is 20343331. The reversal of 20343330 is 3334302.

20343330 is a `hidden beast` number, since 203 + 433 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (20343329) and next prime (20343331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20343331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30541 + ... + 31199.

It is an arithmetic number, because the mean of its divisors is an integer number (643500).

Almost surely, 220343330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20343330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888000).

20343330 is an abundant number, since it is smaller than the sum of its proper divisors (41432670).

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

20343330 is a wasteful number, since it uses less digits than its factorization.

20343330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 20343330 is about 4510.3580789113. The cubic root of 20343330 is about 272.9861925956.

Adding to 20343330 its reverse (3334302), we get a palindrome (23677632).

Subtracting from 20343330 its reverse (3334302), we obtain a triangular number (17009028 = T5832).

The spelling of 20343330 in words is "twenty million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 659 686 735 882 1029 1318 1470 1715 1977 2058 2205 3087 3295 3430 3954 4410 4613 5145 5931 6174 6590 9226 9885 10290 11862 13839 15435 19770 23065 27678 29655 30870 32291 41517 46130 59310 64582 69195 83034 96873 138390 161455 193746 207585 226037 290619 322910 415170 452074 484365 581238 678111 968730 1130185 1356222 1453095 2034333 2260370 2906190 3390555 4068666 6781110 10171665 20343330