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343805056 = 2773531087
BaseRepresentation
bin10100011111100…
…000110010000000
3212221221002212121
4110133200302000
51201003230211
654040534024
711343203050
oct2437406200
9787832777
10343805056
11167083911
1297181314
13562c755a
1433937560
15202b3271
hex147e0c80

343805056 has 64 divisors (see below), whose sum is σ = 785710080. Its totient is φ = 146792448.

The previous prime is 343805053. The next prime is 343805083. The reversal of 343805056 is 650508343.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (343805051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315745 + ... + 316831.

It is an arithmetic number, because the mean of its divisors is an integer number (12276720).

Almost surely, 2343805056 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 343805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392855040).

343805056 is an abundant number, since it is smaller than the sum of its proper divisors (441905024).

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

343805056 is a wasteful number, since it uses less digits than its factorization.

343805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 343805056 is about 18541.9809081986. The cubic root of 343805056 is about 700.5472292316.

The spelling of 343805056 in words is "three hundred forty-three million, eight hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 353 448 706 896 1087 1412 2174 2471 2824 4348 4942 5648 7609 8696 9884 11296 15218 17392 19768 22592 30436 34784 39536 45184 60872 69568 79072 121744 139136 158144 243488 316288 383711 486976 767422 973952 1534844 2685977 3069688 5371954 6139376 10743908 12278752 21487816 24557504 42975632 49115008 85951264 171902528 343805056