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343241340 = 2235134110733
BaseRepresentation
bin10100011101010…
…111001001111100
3212220212110121020
4110131113021330
51200332210330
654020504140
711335334421
oct2435271174
9786773536
10343241340
11166829332
1296b4b050
135615aab0
143382bd48
1520201210
hex1475727c

343241340 has 96 divisors (see below), whose sum is σ = 1060347456. Its totient is φ = 82421760.

The previous prime is 343241323. The next prime is 343241347. The reversal of 343241340 is 43142343.

It is a self number, because there is not a number n which added to its sum of digits gives 343241340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343241347) 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, 26614 + ... + 37346.

It is an arithmetic number, because the mean of its divisors is an integer number (11045286).

Almost surely, 2343241340 is an apocalyptic number.

343241340 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 343241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530173728).

343241340 is an abundant number, since it is smaller than the sum of its proper divisors (717106116).

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

343241340 is a wasteful number, since it uses less digits than its factorization.

343241340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10799 (or 10797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343241340 is about 18526.7735993076. The cubic root of 343241340 is about 700.1641383800.

Adding to 343241340 its reverse (43142343), we get a palindrome (386383683).

The spelling of 343241340 in words is "three hundred forty-three million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 10733 15990 21466 31980 32199 42932 53665 64398 107330 128796 139529 160995 214660 279058 321990 418587 440053 558116 643980 697645 837174 880106 1320159 1395290 1674348 1760212 2092935 2200265 2640318 2790580 4185870 4400530 5280636 5720689 6600795 8371740 8801060 11441378 13201590 17162067 22882756 26403180 28603445 34324134 57206890 68648268 85810335 114413780 171620670 343241340