Search a number
-
+
341410344 = 233112359953
BaseRepresentation
bin10100010110011…
…000001000101000
3212210102102221120
4110112120020220
51144400112334
653513335240
711313640302
oct2426301050
9783372846
10341410344
11165798710
1296407520
1355969572
14334b2972
151ee8d949
hex14598228

341410344 has 128 divisors (see below), whose sum is σ = 989107200. Its totient is φ = 97180160.

The previous prime is 341410343. The next prime is 341410361. The reversal of 341410344 is 443014143.

It is a super-2 number, since 2×3414103442 = 233122045980396672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (341410343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357772 + ... + 358724.

It is an arithmetic number, because the mean of its divisors is an integer number (7727400).

Almost surely, 2341410344 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 341410344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494553600).

341410344 is an abundant number, since it is smaller than the sum of its proper divisors (647696856).

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

341410344 is a wasteful number, since it uses less digits than its factorization.

341410344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 341410344 is about 18477.2926588286. The cubic root of 341410344 is about 698.9169264415.

Adding to 341410344 its reverse (443014143), we get a palindrome (784424487).

The spelling of 341410344 in words is "three hundred forty-one million, four hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 59 66 69 88 92 118 132 138 177 184 236 253 264 276 354 472 506 552 649 708 759 953 1012 1298 1357 1416 1518 1906 1947 2024 2596 2714 2859 3036 3812 3894 4071 5192 5428 5718 6072 7624 7788 8142 10483 10856 11436 14927 15576 16284 20966 21919 22872 29854 31449 32568 41932 43838 44781 56227 59708 62898 65757 83864 87676 89562 112454 119416 125796 131514 168681 175352 179124 224908 241109 251592 263028 337362 358248 449816 482218 526056 618497 674724 723327 964436 1236994 1293221 1349448 1446654 1855491 1928872 2473988 2586442 2893308 3710982 3879663 4947976 5172884 5786616 7421964 7759326 10345768 14225431 14843928 15518652 28450862 31037304 42676293 56901724 85352586 113803448 170705172 341410344