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411144344 = 231319247233
BaseRepresentation
bin11000100000011…
…001000010011000
31001122122022000022
4120200121002120
51320223104334
6104444130012
713121445362
oct3040310230
91048568008
10411144344
111a1097916
12b5836908
1367243ca0
143c865d32
152616582e
hex18819098

411144344 has 96 divisors (see below), whose sum is σ = 898672320. Its totient is φ = 175191552.

The previous prime is 411144341. The next prime is 411144367. The reversal of 411144344 is 443441114.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411144341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764452 + ... + 1764684.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2411144344 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 411144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

411144344 is an abundant number, since it is smaller than the sum of its proper divisors (487527976).

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

411144344 is a wasteful number, since it uses less digits than its factorization.

411144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 314 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 411144344 is about 20276.6946024247. The cubic root of 411144344 is about 743.5864034499.

Adding to 411144344 its reverse (443441114), we get a palindrome (854585458).

The spelling of 411144344 in words is "four hundred eleven million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 47 52 76 94 104 152 188 233 247 361 376 466 494 611 722 893 932 988 1222 1444 1786 1864 1976 2444 2888 3029 3572 4427 4693 4888 6058 7144 8854 9386 10951 11609 12116 16967 17708 18772 21902 23218 24232 33934 35416 37544 43804 46436 57551 67868 84113 87608 92872 115102 135736 142363 168226 208069 220571 230204 284726 336452 416138 441142 460408 569452 672904 832276 882284 1093469 1138904 1664552 1764568 2186938 2704897 3953311 4373876 5409794 7906622 8747752 10819588 15813244 21639176 31626488 51393043 102786086 205572172 411144344