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342061641 = 32172977093
BaseRepresentation
bin10100011000110…
…111001001001001
3212211122112100200
4110120313021021
51200031433031
653535322413
711322322155
oct2430671111
9784575320
10342061641
111660a2a79
1296680409
1355b36b4c
1433602065
152006b8e6
hex14637249

342061641 has 24 divisors (see below), whose sum is σ = 541199880. Its totient is φ = 207223296.

The previous prime is 342061639. The next prime is 342061679. The reversal of 342061641 is 146160243.

342061641 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 616 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52925625 + 289136016 = 7275^2 + 17004^2 .

It is not a de Polignac number, because 342061641 - 21 = 342061639 is a prime.

It is a super-2 number, since 2×3420616412 = 234012332487225762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342061631) 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 23 ways as a sum of consecutive naturals, for example, 34110 + ... + 42983.

It is an arithmetic number, because the mean of its divisors is an integer number (22549995).

Almost surely, 2342061641 is an apocalyptic number.

It is an amenable number.

342061641 is a deficient number, since it is larger than the sum of its proper divisors (199138239).

342061641 is a wasteful number, since it uses less digits than its factorization.

342061641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77145 (or 77142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 342061641 is about 18494.9085155888. The cubic root of 342061641 is about 699.3610775475.

The spelling of 342061641 in words is "three hundred forty-two million, sixty-one thousand, six hundred forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 77093 231279 693837 1310581 2235697 3931743 6707091 11795229 20121273 38006849 114020547 342061641