Search a number
-
+
343108656 = 243311103701
BaseRepresentation
bin10100011100110…
…110110000110000
3212220121201121000
4110130312300300
51200313434111
654014002000
711334242532
oct2434666060
9786551530
10343108656
11166748680
1296aa6300
1356112597
14337d5852
15201c6c56
hex14736c30

343108656 has 160 divisors (see below), whose sum is σ = 1086359040. Its totient is φ = 102816000.

The previous prime is 343108627. The next prime is 343108663. The reversal of 343108656 is 656801343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 343108656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489106 + ... + 489806.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744).

Almost surely, 2343108656 is an apocalyptic number.

343108656 is a gapful number since it is divisible by the number (36) 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 343108656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543179520).

343108656 is an abundant number, since it is smaller than the sum of its proper divisors (743250384).

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

343108656 is a wasteful number, since it uses less digits than its factorization.

343108656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 343108656 is about 18523.1923814444. The cubic root of 343108656 is about 700.0739078426.

Adding to 343108656 its reverse (656801343), we get a palindrome (999909999).

The spelling of 343108656 in words is "three hundred forty-three million, one hundred eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 103 108 132 144 176 198 206 216 264 297 309 396 412 432 528 594 618 701 792 824 927 1133 1188 1236 1402 1584 1648 1854 2103 2266 2376 2472 2781 2804 3399 3708 4206 4532 4752 4944 5562 5608 6309 6798 7416 7711 8412 9064 10197 11124 11216 12618 13596 14832 15422 16824 18128 18927 20394 22248 23133 25236 27192 30591 30844 33648 37854 40788 44496 46266 50472 54384 61182 61688 69399 72203 75708 81576 92532 100944 122364 123376 138798 144406 151416 163152 185064 208197 216609 244728 277596 288812 302832 370128 416394 433218 489456 555192 577624 649827 794233 832788 866436 1110384 1155248 1299654 1588466 1665576 1732872 1949481 2382699 2599308 3176932 3331152 3465744 3898962 4765398 5198616 6353864 7148097 7797924 9530796 10397232 12707728 14296194 15595848 19061592 21444291 28592388 31191696 38123184 42888582 57184776 85777164 114369552 171554328 343108656