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20344200 = 2335241827
BaseRepresentation
bin100110110011…
…0110110001000
31102021120222220
41031212312020
520202003300
62004014040
7334631352
oct115466610
942246886
1020344200
1110535998
126991320
1342a3cb6
1429b80d2
151bbcda0
hex1366d88

20344200 has 96 divisors (see below), whose sum is σ = 64683360. Its totient is φ = 5286400.

The previous prime is 20344199. The next prime is 20344211. The reversal of 20344200 is 244302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20344200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24187 + ... + 25013.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 220344200 is an apocalyptic number.

20344200 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 20344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32341680).

20344200 is an abundant number, since it is smaller than the sum of its proper divisors (44339160).

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

20344200 is a wasteful number, since it uses less digits than its factorization.

20344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20344200 is about 4510.4545225509. The cubic root of 20344200 is about 272.9900840365.

Adding to 20344200 its reverse (244302), we get a palindrome (20588502).

The spelling of 20344200 in words is "twenty million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 827 984 1025 1230 1640 1654 2050 2460 2481 3075 3308 4100 4135 4920 4962 6150 6616 8200 8270 9924 12300 12405 16540 19848 20675 24600 24810 33080 33907 41350 49620 62025 67814 82700 99240 101721 124050 135628 165400 169535 203442 248100 271256 339070 406884 496200 508605 678140 813768 847675 1017210 1356280 1695350 2034420 2543025 3390700 4068840 5086050 6781400 10172100 20344200