Search a number
-
+
334234152441 = 357472141621
BaseRepresentation
bin1001101110100011110…
…10000110110111111001
31011221201100112011100000
410313101322012313321
520434002420334231
6413313421503213
733101430264060
oct4672172066771
91157640464300
10334234152441
11119825513772
125493a411b09
1325697499747
1412269a531d7
158a62db16e6
hex4dd1e86df9

334234152441 has 48 divisors (see below), whose sum is σ = 572321812608. Its totient is φ = 190945900800.

The previous prime is 334234152431. The next prime is 334234152451. The reversal of 334234152441 is 144251432433.

334234152441 is a `hidden beast` number, since 3 + 34 + 2 + 34 + 152 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (334234152431) and next prime (334234152451).

It is not a de Polignac number, because 334234152441 - 229 = 333697281529 is a prime.

It is a super-2 number, since 2×3342341524412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334234152396 and 334234152405.

It is not an unprimeable number, because it can be changed into a prime (334234152431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8009611 + ... + 8051231.

It is an arithmetic number, because the mean of its divisors is an integer number (11923371096).

Almost surely, 2334234152441 is an apocalyptic number.

It is an amenable number.

334234152441 is a deficient number, since it is larger than the sum of its proper divisors (238087660167).

334234152441 is an equidigital number, since it uses as much as digits as its factorization.

334234152441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46364 (or 46352 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 334234152441 its reverse (144251432433), we get a palindrome (478485584874).

The spelling of 334234152441 in words is "three hundred thirty-four billion, two hundred thirty-four million, one hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 4721 14163 33047 41621 42489 99141 124863 127467 291347 297423 374589 382401 874041 892269 1123767 1147203 2622123 2676807 3371301 7866369 8030421 10113903 23599107 70797321 196492741 589478223 1375449187 1768434669 4126347561 5305304007 12379042683 15915912021 37137128049 47747736063 111411384147 334234152441