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20343420 = 22335101373
BaseRepresentation
bin100110110011…
…0101001111100
31102021112221000
41031212221330
520201442140
62004010300
7334626156
oct115465174
942245830
1020343420
1110535349
126990990
1342a3836
1429b7ad6
151bbca30
hex1366a7c

20343420 has 96 divisors (see below), whose sum is σ = 64088640. Its totient is φ = 5356800.

The previous prime is 20343419. The next prime is 20343473. The reversal of 20343420 is 2434302.

20343420 is a `hidden beast` number, since 203 + 43 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20343393 and 20343402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54354 + ... + 54726.

It is an arithmetic number, because the mean of its divisors is an integer number (667590).

Almost surely, 220343420 is an apocalyptic number.

20343420 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 20343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32044320).

20343420 is an abundant number, since it is smaller than the sum of its proper divisors (43745220).

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

20343420 is a wasteful number, since it uses less digits than its factorization.

20343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20343420 is about 4510.3680559351. The cubic root of 20343420 is about 272.9865951636.

Adding to 20343420 its reverse (2434302), we get a palindrome (22777722).

The spelling of 20343420 in words is "twenty million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 373 404 505 540 606 746 909 1010 1119 1212 1492 1515 1818 1865 2020 2238 2727 3030 3357 3636 3730 4476 4545 5454 5595 6060 6714 7460 9090 10071 10908 11190 13428 13635 16785 18180 20142 22380 27270 33570 37673 40284 50355 54540 67140 75346 100710 113019 150692 188365 201420 226038 339057 376730 452076 565095 678114 753460 1017171 1130190 1356228 1695285 2034342 2260380 3390570 4068684 5085855 6781140 10171710 20343420