Search a number
-
+
341112408 = 233713313499
BaseRepresentation
bin10100010101001…
…111011001011000
3212202212022020220
4110111033121120
51144311044113
653503120040
711311256550
oct2425173130
9782768226
10341112408
1116560488a
12962a3020
1355893a80
1433436160
151ee30523
hex1454f658

341112408 has 128 divisors (see below), whose sum is σ = 1055040000. Its totient is φ = 89496576.

The previous prime is 341112407. The next prime is 341112479. The reversal of 341112408 is 804211143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341112403) 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, 683343 + ... + 683841.

It is an arithmetic number, because the mean of its divisors is an integer number (8242500).

Almost surely, 2341112408 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 341112408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527520000).

341112408 is an abundant number, since it is smaller than the sum of its proper divisors (713927592).

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

341112408 is a wasteful number, since it uses less digits than its factorization.

341112408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 341112408 is about 18469.2286790759. The cubic root of 341112408 is about 698.7135610791.

The spelling of 341112408 in words is "three hundred forty-one million, one hundred twelve thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 313 364 499 546 626 728 939 998 1092 1252 1497 1878 1996 2184 2191 2504 2994 3493 3756 3992 4069 4382 5988 6487 6573 6986 7512 8138 8764 10479 11976 12207 12974 13146 13972 16276 17528 19461 20958 24414 25948 26292 27944 28483 32552 38922 41916 45409 48828 51896 52584 56966 77844 83832 85449 90818 97656 113932 136227 155688 156187 170898 181636 227864 272454 312374 341796 363272 468561 544908 624748 683592 937122 1089816 1093309 1249496 1874244 2030431 2186618 3279927 3748488 4060862 4373236 6091293 6559854 8121724 8746472 12182586 13119708 14213017 16243448 24365172 26239416 28426034 42639051 48730344 56852068 85278102 113704136 170556204 341112408