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405333341 = 729978297
BaseRepresentation
bin11000001010001…
…110010101011101
31001020201001210222
4120022032111131
51312231131331
6104115411125
713021163600
oct3012162535
91036631728
10405333341
11198888a36
12b38b3aa5
1365c8b01a
143bb92337
15258b8b7b
hex1828e55d

405333341 has 12 divisors (see below), whose sum is σ = 472040028. Its totient is φ = 347038272.

The previous prime is 405333307. The next prime is 405333343. The reversal of 405333341 is 143333504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 383337241 + 21996100 = 19579^2 + 4690^2 .

It is a de Polignac number, because none of the positive numbers 2k-405333341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 405333341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405333343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44705 + ... + 53001.

It is an arithmetic number, because the mean of its divisors is an integer number (39336669).

Almost surely, 2405333341 is an apocalyptic number.

It is an amenable number.

405333341 is a deficient number, since it is larger than the sum of its proper divisors (66706687).

405333341 is an equidigital number, since it uses as much as digits as its factorization.

405333341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 405333341 is about 20132.8920177902. The cubic root of 405333341 is about 740.0665517209.

Adding to 405333341 its reverse (143333504), we get a palindrome (548666845).

The spelling of 405333341 in words is "four hundred five million, three hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 7 49 997 6979 8297 48853 58079 406553 8272109 57904763 405333341