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440670340 = 2251123731193
BaseRepresentation
bin11010010001000…
…001100010000100
31010201012101001201
4122101001202010
51400302422330
6111421032244
713630431115
oct3221014204
91121171051
10440670340
11206824170
121036b5684
13703b12a6
144275020c
1528a48eca
hex1a441884

440670340 has 96 divisors (see below), whose sum is σ = 1068754176. Its totient is φ = 151050240.

The previous prime is 440670319. The next prime is 440670343. The reversal of 440670340 is 43076044.

440670340 = T191 + T192 + ... + T1383.

It is a junction number, because it is equal to n+sod(n) for n = 440670299 and 440670308.

It is not an unprimeable number, because it can be changed into a prime (440670343) 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, 368784 + ... + 369976.

It is an arithmetic number, because the mean of its divisors is an integer number (11132856).

Almost surely, 2440670340 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 440670340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534377088).

440670340 is an abundant number, since it is smaller than the sum of its proper divisors (628083836).

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

440670340 is a wasteful number, since it uses less digits than its factorization.

440670340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 440670340 is about 20992.1494849860. The cubic root of 440670340 is about 760.9765493708.

The spelling of 440670340 in words is "four hundred forty million, six hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 73 92 110 115 146 220 230 253 292 365 460 506 730 803 1012 1193 1265 1460 1606 1679 2386 2530 3212 3358 4015 4772 5060 5965 6716 8030 8395 11930 13123 16060 16790 18469 23860 26246 27439 33580 36938 52492 54878 65615 73876 87089 92345 109756 131230 137195 174178 184690 262460 274390 301829 348356 369380 435445 548780 603658 870890 957979 1207316 1509145 1741780 1915958 2003047 3018290 3831916 4006094 4789895 6036580 8012188 9579790 10015235 19159580 20030470 22033517 40060940 44067034 88134068 110167585 220335170 440670340