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304041312 = 25327114869
BaseRepresentation
bin10010000111110…
…100110101100000
3210012002220021100
4102013310311200
51110313310222
650100354400
710351210551
oct2207646540
9705086240
10304041312
11146694813
12859a5a00
134acb4403
142c546328
151ba5b4ac
hex121f4d60

304041312 has 72 divisors (see below), whose sum is σ = 876854160. Its totient is φ = 99912960.

The previous prime is 304041293. The next prime is 304041317. The reversal of 304041312 is 213140403.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3040413122 = 184882238805362688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304041317) 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 11 ways as a sum of consecutive naturals, for example, 13014 + ... + 27882.

It is an arithmetic number, because the mean of its divisors is an integer number (12178530).

Almost surely, 2304041312 is an apocalyptic number.

304041312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438427080).

304041312 is an abundant number, since it is smaller than the sum of its proper divisors (572812848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304041312 is a wasteful number, since it uses less digits than its factorization.

304041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14956 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304041312 is about 17436.7804367664. The cubic root of 304041312 is about 672.4255382977.

Adding to 304041312 its reverse (213140403), we get a palindrome (517181715).

Subtracting from 304041312 its reverse (213140403), we obtain a palindrome (90900909).

The spelling of 304041312 in words is "three hundred four million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 14869 20448 29738 44607 59476 89214 118952 133821 178428 237904 267642 356856 475808 535284 713712 1055699 1070568 1427424 2111398 2141136 3167097 4222796 4282272 6334194 8445592 9501291 12668388 16891184 19002582 25336776 33782368 38005164 50673552 76010328 101347104 152020656 304041312