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343241040 = 243513910289
BaseRepresentation
bin10100011101010…
…111000101010000
3212220212110012010
4110131113011100
51200332203130
654020502520
711335333512
oct2435270520
9786773163
10343241040
1116682908a
1296b4aa40
135615a90c
143382bbb2
15202010b0
hex14757150

343241040 has 80 divisors (see below), whose sum is σ = 1071806400. Its totient is φ = 90863616.

The previous prime is 343240993. The next prime is 343241069. The reversal of 343241040 is 40142343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 343240998 and 343241016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28216 + ... + 38504.

It is an arithmetic number, because the mean of its divisors is an integer number (13397580).

Almost surely, 2343241040 is an apocalyptic number.

343241040 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 343241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535903200).

343241040 is an abundant number, since it is smaller than the sum of its proper divisors (728565360).

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

343241040 is a wasteful number, since it uses less digits than its factorization.

343241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 343241040 is about 18526.7655029150. The cubic root of 343241040 is about 700.1639343940.

Adding to 343241040 its reverse (40142343), we get a palindrome (383383383).

The spelling of 343241040 in words is "three hundred forty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 10289 11120 16680 20578 30867 33360 41156 51445 61734 82312 102890 123468 154335 164624 205780 246936 308670 411560 493872 617340 823120 1234680 1430171 2469360 2860342 4290513 5720684 7150855 8581026 11441368 14301710 17162052 21452565 22882736 28603420 34324104 42905130 57206840 68648208 85810260 114413680 171620520 343241040