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344404242 = 2327413613
BaseRepresentation
bin10100100001110…
…011000100010010
3220000001112210200
4110201303010102
51201131413432
654101440030
711351250000
oct2441630422
9800045720
10344404242
11167453006
1297410016
13564771c0
1433a51a70
1520380a7c
hex14873112

344404242 has 120 divisors (see below), whose sum is σ = 939018444. Its totient is φ = 90683712.

The previous prime is 344404219. The next prime is 344404253. The reversal of 344404242 is 242404443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 247401441 + 97002801 = 15729^2 + 9849^2 .

It is a super-2 number, since 2×3444042422 = 237228563815189128, which contains 22 as substring.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 561528 + ... + 562140.

Almost surely, 2344404242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344404242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469509222).

344404242 is an abundant number, since it is smaller than the sum of its proper divisors (594614202).

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

344404242 is a wasteful number, since it uses less digits than its factorization.

344404242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 344404242 is about 18558.1314253348. The cubic root of 344404242 is about 700.9539660030.

Adding to 344404242 its reverse (242404443), we get a palindrome (586808685).

The spelling of 344404242 in words is "three hundred forty-four million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 613 637 686 819 882 1029 1226 1274 1638 1839 1911 2058 2401 3087 3678 3822 4291 4459 4802 5517 5733 6174 7203 7969 8582 8918 11034 11466 12873 13377 14406 15938 21609 23907 25746 26754 30037 31213 38619 40131 43218 47814 55783 60074 62426 71721 77238 80262 90111 93639 111566 143442 167349 180222 187278 210259 270333 280917 334698 390481 420518 502047 540666 561834 630777 780962 1004094 1171443 1261554 1471813 1892331 2342886 2733367 2943626 3514329 3784662 4415439 5466734 7028658 8200101 8830878 13246317 16400202 19133569 24600303 26492634 38267138 49200606 57400707 114801414 172202121 344404242