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1000440350 = 2527213101311
BaseRepresentation
bin111011101000011…
…000001000011110
32120201111122011022
4323220120020132
54022103042400
6243134524142
733535413500
oct7350301036
92521448138
101000440350
114737a4708
1223b066652
1312c362750
1496c23d70
155cc6bb85
hex3ba1821e

1000440350 has 144 divisors (see below), whose sum is σ = 2361786336. Its totient is φ = 312480000.

The previous prime is 1000440313. The next prime is 1000440359. The reversal of 1000440350 is 530440001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000440359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3216695 + ... + 3217005.

It is an arithmetic number, because the mean of its divisors is an integer number (16401294).

Almost surely, 21000440350 is an apocalyptic number.

1000440350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000440350 is an abundant number, since it is smaller than the sum of its proper divisors (1361345986).

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

1000440350 is a wasteful number, since it uses less digits than its factorization.

1000440350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1000440350 is about 31629.7383802016. The cubic root of 1000440350 is about 1000.1467617933.

Adding to 1000440350 its reverse (530440001), we get a palindrome (1530880351).

The spelling of 1000440350 in words is "one billion, four hundred forty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 49 50 65 70 91 98 101 130 175 182 202 245 311 325 350 455 490 505 622 637 650 707 910 1010 1225 1274 1313 1414 1555 2177 2275 2450 2525 2626 3110 3185 3535 4043 4354 4550 4949 5050 6370 6565 7070 7775 8086 9191 9898 10885 13130 15239 15550 15925 17675 18382 20215 21770 24745 28301 30478 31411 31850 32825 35350 40430 45955 49490 54425 56602 62822 64337 65650 76195 91910 101075 108850 123725 128674 141505 152390 157055 198107 202150 219877 229775 247450 283010 314110 321685 380975 396214 408343 439754 459550 643370 707525 761950 785275 816686 990535 1099385 1415050 1539139 1570550 1608425 1981070 2041715 2198770 2858401 3078278 3216850 4083430 4952675 5496925 5716802 7695695 9905350 10208575 10993850 14292005 15391390 20008807 20417150 28584010 38478475 40017614 71460025 76956950 100044035 142920050 200088070 500220175 1000440350