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304141341 = 37193167367
BaseRepresentation
bin10010001000001…
…101010000011101
3210012021222111010
4102020031100131
51110330010331
650102445433
710352105310
oct2210152035
9705258433
10304141341
11146752989
1285a33879
134b01aaba
142c570977
151ba7ae46
hex1220d41d

304141341 has 64 divisors (see below), whose sum is σ = 512491520. Its totient is φ = 156530880.

The previous prime is 304141337. The next prime is 304141349. The reversal of 304141341 is 143141403.

It is not a de Polignac number, because 304141341 - 22 = 304141337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304141349) 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 63 ways as a sum of consecutive naturals, for example, 828540 + ... + 828906.

It is an arithmetic number, because the mean of its divisors is an integer number (8007680).

Almost surely, 2304141341 is an apocalyptic number.

304141341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

304141341 is a deficient number, since it is larger than the sum of its proper divisors (208350179).

304141341 is a wasteful number, since it uses less digits than its factorization.

304141341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 304141341 is about 17439.6485343025. The cubic root of 304141341 is about 672.4992724434.

Adding to 304141341 its reverse (143141403), we get a palindrome (447282744).

The spelling of 304141341 in words is "three hundred four million, one hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 7 19 21 31 57 67 93 133 201 217 367 399 469 589 651 1101 1273 1407 1767 2077 2569 3819 4123 6231 6973 7707 8911 11377 12369 14539 20919 24589 26733 34131 39463 43617 48811 73767 79639 118389 146433 172123 216163 238917 276241 467191 516369 648489 762259 828723 1401573 1513141 2286777 3270337 4539423 5335813 9811011 14482921 16007439 43448763 101380447 304141341