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304949442 = 23722947761
BaseRepresentation
bin10010001011010…
…010100011000010
3210020211000222210
4102023102203002
51111031340232
650132042550
710362012300
oct2213224302
9706730883
10304949442
11147155036
1286163456
134b241875
142c701270
151bb8a5cc
hex122d28c2

304949442 has 96 divisors (see below), whose sum is σ = 750539520. Its totient is φ = 82225920.

The previous prime is 304949441. The next prime is 304949443. The reversal of 304949442 is 244949403.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (304949441) and next prime (304949443).

It is a super-2 number, since 2×3049494422 = 185988324352222728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 304949442.

It is not an unprimeable number, because it can be changed into a prime (304949441) 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 47 ways as a sum of consecutive naturals, for example, 400342 + ... + 401102.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2304949442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304949442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375269760).

304949442 is an abundant number, since it is smaller than the sum of its proper divisors (445590078).

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

304949442 is a wasteful number, since it uses less digits than its factorization.

304949442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 304949442 is about 17462.8016652541. The cubic root of 304949442 is about 673.0943540265.

Subtracting from 304949442 its sum of digits (39), we obtain a palindrome (304949403).

The spelling of 304949442 in words is "three hundred four million, nine hundred forty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 47 49 58 87 94 98 141 147 174 203 282 294 329 406 609 658 761 987 1218 1363 1421 1522 1974 2283 2303 2726 2842 4089 4263 4566 4606 5327 6909 8178 8526 9541 10654 13818 15981 19082 22069 28623 31962 35767 37289 44138 57246 66207 66787 71534 74578 107301 111867 132414 133574 154483 200361 214602 223734 250369 308966 400722 463449 500738 751107 926898 1037243 1081381 1502214 1752583 2074486 2162762 3111729 3244143 3505166 5257749 6223458 6488286 7260701 10515498 14521402 21782103 43564206 50824907 101649814 152474721 304949442