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20343400 = 23527111321
BaseRepresentation
bin100110110011…
…0101001101000
31102021112220021
41031212221220
520201442100
62004010224
7334626130
oct115465150
942245807
1020343400
1110535330
126990974
1342a381c
1429b7ac0
151bbca1a
hex1366a68

20343400 has 96 divisors (see below), whose sum is σ = 59014080. Its totient is φ = 6336000.

The previous prime is 20343397. The next prime is 20343403. The reversal of 20343400 is 434302.

It is an interprime number because it is at equal distance from previous prime (20343397) and next prime (20343403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20343403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14740 + ... + 16060.

It is an arithmetic number, because the mean of its divisors is an integer number (614730).

Almost surely, 220343400 is an apocalyptic number.

20343400 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 20343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29507040).

20343400 is an abundant number, since it is smaller than the sum of its proper divisors (38670680).

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

20343400 is a wasteful number, since it uses less digits than its factorization.

20343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 20343400 is about 4510.3658388206. The cubic root of 20343400 is about 272.9865057041.

Adding to 20343400 its reverse (434302), we get a palindrome (20777702).

The spelling of 20343400 in words is "twenty million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1321 1400 1540 1925 2200 2642 3080 3850 5284 6605 7700 9247 10568 13210 14531 15400 18494 26420 29062 33025 36988 46235 52840 58124 66050 72655 73976 92470 101717 116248 132100 145310 184940 203434 231175 264200 290620 363275 369880 406868 462350 508585 581240 726550 813736 924700 1017170 1453100 1849400 2034340 2542925 2906200 4068680 5085850 10171700 20343400