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304040133 = 3241472373
BaseRepresentation
bin10010000111110…
…100100011000101
3210012002211122200
4102013310203011
51110313241013
650100345113
710351204245
oct2207644305
9705084580
10304040133
11146693941
12859a5199
134acb3a07
142c545b25
151ba5ae73
hex121f48c5

304040133 has 36 divisors (see below), whose sum is σ = 460888428. Its totient is φ = 193023360.

The previous prime is 304040129. The next prime is 304040153. The reversal of 304040133 is 331040403.

It can be written as a sum of positive squares in 2 ways, for example, as 76422564 + 227617569 = 8742^2 + 15087^2 .

It is not a de Polignac number, because 304040133 - 22 = 304040129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304040123) 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 35 ways as a sum of consecutive naturals, for example, 814935 + ... + 815307.

Almost surely, 2304040133 is an apocalyptic number.

It is an amenable number.

304040133 is a deficient number, since it is larger than the sum of its proper divisors (156848295).

304040133 is a wasteful number, since it uses less digits than its factorization.

304040133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 304040133 is about 17436.7466288869. The cubic root of 304040133 is about 672.4246691278.

Adding to 304040133 its reverse (331040403), we get a palindrome (635080536).

The spelling of 304040133 in words is "three hundred four million, forty thousand, one hundred thirty-three".

Divisors: 1 3 9 41 47 123 141 369 373 423 1119 1927 2209 3357 5781 6627 15293 17343 17531 19881 45879 52593 90569 137637 157779 271707 718771 815121 823957 2156313 2471871 6468939 7415613 33782237 101346711 304040133