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304234432 = 262341712
BaseRepresentation
bin10010001000100…
…011111111000000
3210012110201011221
4102020203333000
51110341000212
650104444424
710352643565
oct2210437700
9705421157
10304234432
11146806917
1285a79714
134b051298
142c59686c
151ba98807
hex12223fc0

304234432 has 84 divisors (see below), whose sum is σ = 654545808. Its totient is φ = 139955200.

The previous prime is 304234429. The next prime is 304234439. The reversal of 304234432 is 234432403.

It is a super-2 number, since 2×3042344322 = 185117179228725248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304234397 and 304234406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304234439) 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, 4284957 + ... + 4285027.

It is an arithmetic number, because the mean of its divisors is an integer number (7792212).

Almost surely, 2304234432 is an apocalyptic number.

304234432 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 304234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327272904).

304234432 is an abundant number, since it is smaller than the sum of its proper divisors (350311376).

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

304234432 is an equidigital number, since it uses as much as digits as its factorization.

304234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 304234432 is about 17442.3172772427. The cubic root of 304234432 is about 672.5678778747.

Adding to 304234432 its reverse (234432403), we get a palindrome (538666835).

The spelling of 304234432 in words is "three hundred four million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 71 82 92 142 164 184 284 328 368 568 656 736 943 1136 1312 1472 1633 1886 2272 2624 2911 3266 3772 4544 5041 5822 6532 7544 10082 11644 13064 15088 20164 23288 26128 30176 40328 46576 52256 60352 66953 80656 93152 104512 115943 133906 161312 186304 206681 231886 267812 322624 413362 463772 535624 826724 927544 1071248 1653448 1855088 2142496 3306896 3710176 4284992 4753663 6613792 7420352 9507326 13227584 19014652 38029304 76058608 152117216 304234432