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346681441 = 3976011453
BaseRepresentation
bin10100101010011…
…111000001100001
3220011100020112101
4110222133001201
51202222301231
654222330401
711406513031
oct2452370141
9804306471
10346681441
11168768997
1298129a01
1356a93862
14340858c1
1520680661
hex14a9f061

346681441 has 8 divisors (see below), whose sum is σ = 348372584. Its totient is φ = 344995200.

The previous prime is 346681421. The next prime is 346681469. The reversal of 346681441 is 144186643.

It can be written as a sum of positive squares in 4 ways, for example, as 239351841 + 107329600 = 15471^2 + 10360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-346681441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 346681441.

It is not an unprimeable number, because it can be changed into a prime (346681411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 237871 + ... + 239323.

It is an arithmetic number, because the mean of its divisors is an integer number (43546573).

Almost surely, 2346681441 is an apocalyptic number.

It is an amenable number.

346681441 is a deficient number, since it is larger than the sum of its proper divisors (1691143).

346681441 is a wasteful number, since it uses less digits than its factorization.

346681441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451.

The product of its digits is 55296, while the sum is 37.

The square root of 346681441 is about 18619.3834752926. The cubic root of 346681441 is about 702.4954747833.

The spelling of 346681441 in words is "three hundred forty-six million, six hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 397 601 1453 238597 576841 873253 346681441