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304144431 = 32910134613
BaseRepresentation
bin10010001000001…
…110000000101111
3210012022010201120
4102020032000233
51110330110211
650102512023
710352120313
oct2210160057
9705263646
10304144431
11146755238
1285a35613
134b01c326
142c571b43
151ba7bd06
hex1220e02f

304144431 has 16 divisors (see below), whose sum is σ = 423675360. Its totient is φ = 193827200.

The previous prime is 304144429. The next prime is 304144439. The reversal of 304144431 is 134441403.

It is a cyclic number.

It is not a de Polignac number, because 304144431 - 21 = 304144429 is a prime.

It is a super-2 number, since 2×3041444312 = 185007669816627522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304144439) 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 15 ways as a sum of consecutive naturals, for example, 8520 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (26479710).

Almost surely, 2304144431 is an apocalyptic number.

304144431 is a deficient number, since it is larger than the sum of its proper divisors (119530929).

304144431 is a wasteful number, since it uses less digits than its factorization.

304144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34746.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 304144431 is about 17439.7371253124. The cubic root of 304144431 is about 672.5015499105.

Adding to 304144431 its reverse (134441403), we get a palindrome (438585834).

The spelling of 304144431 in words is "three hundred four million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 29 87 101 303 2929 8787 34613 103839 1003777 3011331 3495913 10487739 101381477 304144431