Search a number
-
+
345541729 = 13191317439
BaseRepresentation
bin10100100110001…
…000110001100001
3220002012100010211
4110212020301201
51201424313404
654142054121
711364025201
oct2446106141
9802170124
10345541729
1116805a685
129787a341
1356784b80
1433c6a401
1520507b04
hex14988c61

345541729 has 16 divisors (see below), whose sum is σ = 376104960. Its totient is φ = 315570240.

The previous prime is 345541709. The next prime is 345541747. The reversal of 345541729 is 927145543.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 345541729 - 213 = 345533537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345541691 and 345541700.

It is not an unprimeable number, because it can be changed into a prime (345541709) 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 15 ways as a sum of consecutive naturals, for example, 786892 + ... + 787330.

It is an arithmetic number, because the mean of its divisors is an integer number (23506560).

Almost surely, 2345541729 is an apocalyptic number.

It is an amenable number.

345541729 is a deficient number, since it is larger than the sum of its proper divisors (30563231).

345541729 is a wasteful number, since it uses less digits than its factorization.

345541729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 151200, while the sum is 40.

The square root of 345541729 is about 18588.7527553626. The cubic root of 345541729 is about 701.7248138807.

The spelling of 345541729 in words is "three hundred forty-five million, five hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 13 191 317 439 2483 4121 5707 60547 83849 139163 787111 1090037 1809119 26580133 345541729