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343240040 = 2351113232609
BaseRepresentation
bin10100011101010…
…110110101101000
3212220212101211002
4110131112311220
51200332140130
654020454132
711335330553
oct2435266550
9786771732
10343240040
11166828360
1296b4a348
135615a320
143382b69a
1520200b45
hex14756d68

343240040 has 128 divisors (see below), whose sum is σ = 947116800. Its totient is φ = 110161920.

The previous prime is 343239973. The next prime is 343240097. The reversal of 343240040 is 40042343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 343239994 and 343240021.

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, 130256 + ... + 132864.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2343240040 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 343240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473558400).

343240040 is an abundant number, since it is smaller than the sum of its proper divisors (603876760).

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

343240040 is a wasteful number, since it uses less digits than its factorization.

343240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 343240040 is about 18526.7385149141. The cubic root of 343240040 is about 700.1632544397.

Adding to 343240040 its reverse (40042343), we get a palindrome (383282383).

The spelling of 343240040 in words is "three hundred forty-three million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2609 2860 2990 3289 5060 5218 5720 5980 6578 10120 10436 11960 13045 13156 16445 20872 26090 26312 28699 32890 33917 52180 57398 60007 65780 67834 104360 114796 120014 131560 135668 143495 169585 229592 240028 271336 286990 300035 339170 373087 480056 573980 600070 660077 678340 746174 780091 1147960 1200140 1320154 1356680 1492348 1560182 1865435 2400280 2640308 2984696 3120364 3300385 3730870 3900455 5280616 6240728 6600770 7461740 7800910 8581001 13201540 14923480 15601820 17162002 26403080 31203640 34324004 42905005 68648008 85810010 171620020 343240040