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344000244 = 223719673217
BaseRepresentation
bin10100100000010…
…000011011110100
3212222022000121210
4110200100123310
51201031001434
654045041420
711344645110
oct2440203364
9788260553
10344000244
111671a7525
1297256270
1356365353
1433988740
1520300ee9
hex148106f4

344000244 has 96 divisors (see below), whose sum is σ = 980331520. Its totient is φ = 91694592.

The previous prime is 344000221. The next prime is 344000249. The reversal of 344000244 is 442000443.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 344000244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344000249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 105324 + ... + 108540.

Almost surely, 2344000244 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 344000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490165760).

344000244 is an abundant number, since it is smaller than the sum of its proper divisors (636331276).

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

344000244 is a wasteful number, since it uses less digits than its factorization.

344000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 344000244 is about 18547.2435687894. The cubic root of 344000244 is about 700.6797777419.

Adding to 344000244 its reverse (442000443), we get a palindrome (786000687).

The spelling of 344000244 in words is "three hundred forty-four million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 1273 1407 1596 1876 2546 2814 3217 3819 5092 5628 6434 7638 8911 9651 12868 15276 17822 19302 22519 26733 35644 38604 45038 53466 61123 67557 90076 106932 122246 135114 183369 215539 244492 270228 366738 427861 431078 646617 733476 855722 862156 1283583 1293234 1508773 1711444 2567166 2586468 3017546 4095241 4526319 5134332 6035092 8190482 9052638 12285723 16380964 18105276 24571446 28666687 49142892 57333374 86000061 114666748 172000122 344000244