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304242312 = 233115572069
BaseRepresentation
bin10010001000100…
…101111010001000
3210012111002222210
4102020211322020
51110341223222
650104545120
710353005553
oct2210457210
9705432883
10304242312
11146811830
1285a821a0
134b054a4a
142c59969a
151ba9ad0c
hex12225e88

304242312 has 64 divisors (see below), whose sum is σ = 831643200. Its totient is φ = 91984640.

The previous prime is 304242311. The next prime is 304242331. The reversal of 304242312 is 213242403.

It is a super-2 number, since 2×3042423122 = 185126768822210688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (304242311) 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, 146014 + ... + 148082.

It is an arithmetic number, because the mean of its divisors is an integer number (12994425).

Almost surely, 2304242312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415821600).

304242312 is an abundant number, since it is smaller than the sum of its proper divisors (527400888).

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

304242312 is a wasteful number, since it uses less digits than its factorization.

304242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 304242312 is about 17442.5431631973. The cubic root of 304242312 is about 672.5736845691.

Adding to 304242312 its reverse (213242403), we get a palindrome (517484715).

Subtracting from 304242312 its reverse (213242403), we obtain a palindrome (90999909).

It can be divided in two parts, 3042 and 42312, that added together give a palindrome (45354).

The spelling of 304242312 in words is "three hundred four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1114 1671 2069 2228 3342 4138 4456 6127 6207 6684 8276 12254 12414 13368 16552 18381 22759 24508 24828 36762 45518 49016 49656 68277 73524 91036 136554 147048 182072 273108 546216 1152433 2304866 3457299 4609732 6914598 9219464 12676763 13829196 25353526 27658392 38030289 50707052 76060578 101414104 152121156 304242312