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343444440 = 233543101659
BaseRepresentation
bin10100011110001…
…000101111011000
3212221020210012110
4110132020233120
51200410210230
654025112320
711340141513
oct2436105730
9787223173
10343444440
11166957989
12970286a0
13561cc381
1433881d7a
15202414b0
hex14788bd8

343444440 has 128 divisors (see below), whose sum is σ = 1066348800. Its totient is φ = 88435200.

The previous prime is 343444433. The next prime is 343444469. The reversal of 343444440 is 44444343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343444398 and 343444407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520831 + ... + 521489.

It is an arithmetic number, because the mean of its divisors is an integer number (8330850).

Almost surely, 2343444440 is an apocalyptic number.

343444440 is a gapful number since it is divisible by the number (30) 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 343444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533174400).

343444440 is an abundant number, since it is smaller than the sum of its proper divisors (722904360).

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

343444440 is a wasteful number, since it uses less digits than its factorization.

343444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 343444440 is about 18532.2540453125. The cubic root of 343444440 is about 700.3022096449.

Adding to 343444440 its reverse (44444343), we get a palindrome (387888783).

It can be divided in two parts, 3434 and 44440, that added together give a palindrome (47874).

The spelling of 343444440 in words is "three hundred forty-three million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 101 120 129 172 202 215 258 303 344 404 430 505 516 606 645 659 808 860 1010 1032 1212 1290 1318 1515 1720 1977 2020 2424 2580 2636 3030 3295 3954 4040 4343 5160 5272 6060 6590 7908 8686 9885 12120 13029 13180 15816 17372 19770 21715 26058 26360 28337 34744 39540 43430 52116 56674 65145 66559 79080 85011 86860 104232 113348 130290 133118 141685 170022 173720 199677 226696 260580 266236 283370 332795 340044 399354 425055 521160 532472 566740 665590 680088 798708 850110 998385 1133480 1331180 1597416 1700220 1996770 2662360 2862037 3400440 3993540 5724074 7987080 8586111 11448148 14310185 17172222 22896296 28620370 34344444 42930555 57240740 68688888 85861110 114481480 171722220 343444440