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345100221 = 32173760961
BaseRepresentation
bin10100100100011…
…100111110111101
3220001100220111200
4110210130332331
51201321201341
654124410113
711360206044
oct2444347675
9801326450
10345100221
111678889a4
12976a6939
135665bc1b
1433b9355b
152046bdb6
hex1491cfbd

345100221 has 24 divisors (see below), whose sum is σ = 542074104. Its totient is φ = 210677760.

The previous prime is 345100219. The next prime is 345100229. The reversal of 345100221 is 122001543.

345100221 is a `hidden beast` number, since 345 + 100 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54022500 + 291077721 = 7350^2 + 17061^2 .

It is not a de Polignac number, because 345100221 - 21 = 345100219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345100194 and 345100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24820 + ... + 36141.

It is an arithmetic number, because the mean of its divisors is an integer number (22586421).

Almost surely, 2345100221 is an apocalyptic number.

It is an amenable number.

345100221 is a deficient number, since it is larger than the sum of its proper divisors (196973883).

345100221 is a wasteful number, since it uses less digits than its factorization.

345100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61021 (or 61018 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 345100221 is about 18576.8732837364. The cubic root of 345100221 is about 701.4258155825.

Adding to 345100221 its reverse (122001543), we get a palindrome (467101764).

The spelling of 345100221 in words is "three hundred forty-five million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 60961 182883 548649 1036337 2255557 3109011 6766671 9327033 20300013 38344469 115033407 345100221