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344410220 = 225721143743
BaseRepresentation
bin10100100001110…
…100100001101100
3220000001212000002
4110201310201230
51201132111340
654101523432
711351303300
oct2441644154
9800055002
10344410220
11167457550
1297413578
1356479b3b
1433a53d00
1520382715
hex1487486c

344410220 has 144 divisors (see below), whose sum is σ = 940439808. Its totient is φ = 104711040.

The previous prime is 344410201. The next prime is 344410229. The reversal of 344410220 is 22014443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 344410192 and 344410201.

It is not an unprimeable number, because it can be changed into a prime (344410229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463169 + ... + 463911.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2344410220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

344410220 is an abundant number, since it is smaller than the sum of its proper divisors (596029588).

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

344410220 is a wasteful number, since it uses less digits than its factorization.

344410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 344410220 is about 18558.2924861098. The cubic root of 344410220 is about 700.9580215847.

Adding to 344410220 its reverse (22014443), we get a palindrome (366424663).

The spelling of 344410220 in words is "three hundred forty-four million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 49 55 70 77 86 98 110 140 154 172 196 215 220 245 301 308 385 430 473 490 539 602 743 770 860 946 980 1078 1204 1486 1505 1540 1892 2107 2156 2365 2695 2972 3010 3311 3715 4214 4730 5201 5390 6020 6622 7430 8173 8428 9460 10402 10535 10780 13244 14860 16346 16555 20804 21070 23177 26005 31949 32692 33110 36407 40865 42140 46354 52010 57211 63898 66220 72814 81730 92708 104020 114422 115885 127796 145628 159745 163460 182035 223643 228844 231770 286055 319490 351439 364070 400477 447286 463540 572110 638980 702878 728140 800954 894572 1118215 1144220 1405756 1565501 1601908 1757195 2002385 2236430 2460073 3131002 3514390 4004770 4472860 4920146 6262004 7028780 7827505 8009540 9840292 12300365 15655010 17220511 24600730 31310020 34441022 49201460 68882044 86102555 172205110 344410220