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343345116537 = 321722910978933
BaseRepresentation
bin1001111111100001111…
…01101011010101111001
31012211020022102002110200
410333300331223111321
521111132322212122
6421421445232413
733543261223443
oct4776075532571
91184208362420
10343345116537
11122680404965
1256661702709
13264b9c2bb67
1412891ab1493
158de7bab5ac
hex4ff0f6b579

343345116537 has 48 divisors (see below), whose sum is σ = 527949012240. Its totient is φ = 214271963136.

The previous prime is 343345116497. The next prime is 343345116547. The reversal of 343345116537 is 735611543343.

343345116537 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 451 + 165 + 37 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9672525801 + 333672590736 = 98349^2 + 577644^2 .

It is not a de Polignac number, because 343345116537 - 28 = 343345116281 is a prime.

It is a super-2 number, since 2×3433451165372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343345116492 and 343345116501.

It is not an unprimeable number, because it can be changed into a prime (343345116547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38431123 + ... + 38440055.

It is an arithmetic number, because the mean of its divisors is an integer number (10998937755).

Almost surely, 2343345116537 is an apocalyptic number.

It is an amenable number.

343345116537 is a deficient number, since it is larger than the sum of its proper divisors (184603895703).

343345116537 is a wasteful number, since it uses less digits than its factorization.

343345116537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10279 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 343345116537 in words is "three hundred forty-three billion, three hundred forty-five million, one hundred sixteen thousand, five hundred thirty-seven".

Divisors: 1 3 9 17 51 153 229 687 1097 2061 3291 3893 8933 9873 11679 18649 26799 35037 55947 80397 151861 167841 251213 455583 753639 1366749 2045657 2260917 4270621 6136971 9799501 12811863 18410913 29398503 34776169 38435589 88195509 104328507 166591517 312985521 499774551 1499323653 2244085729 6732257187 20196771561 38149457393 114448372179 343345116537