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344021304 = 2331123531069
BaseRepresentation
bin10100100000010…
…101100100111000
3212222100002111210
4110200111210320
51201032140204
654045323120
711345063364
oct2440254470
9788302453
10344021304
11167211330
12972664a0
1356371b03
14339922a4
1520307389
hex14815938

344021304 has 128 divisors (see below), whose sum is σ = 998438400. Its totient is φ = 97743360.

The previous prime is 344021269. The next prime is 344021311. The reversal of 344021304 is 403120443.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 321282 + ... + 322350.

It is an arithmetic number, because the mean of its divisors is an integer number (7800300).

Almost surely, 2344021304 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 344021304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499219200).

344021304 is an abundant number, since it is smaller than the sum of its proper divisors (654417096).

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

344021304 is a wasteful number, since it uses less digits than its factorization.

344021304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

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

The square root of 344021304 is about 18547.8112994499. The cubic root of 344021304 is about 700.6940761959.

Adding to 344021304 its reverse (403120443), we get a palindrome (747141747).

The spelling of 344021304 in words is "three hundred forty-four million, twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 53 66 69 88 92 106 132 138 159 184 212 253 264 276 318 424 506 552 583 636 759 1012 1069 1166 1219 1272 1518 1749 2024 2138 2332 2438 3036 3207 3498 3657 4276 4664 4876 6072 6414 6996 7314 8552 9752 11759 12828 13409 13992 14628 23518 24587 25656 26818 29256 35277 40227 47036 49174 53636 56657 70554 73761 80454 94072 98348 107272 113314 141108 147522 160908 169971 196696 226628 270457 282216 295044 321816 339942 453256 540914 590088 623227 679884 811371 1081828 1246454 1303111 1359768 1622742 1869681 2163656 2492908 2606222 3245484 3739362 3909333 4985816 5212444 6490968 7478724 7818666 10424888 14334221 14957448 15637332 28668442 31274664 43002663 57336884 86005326 114673768 172010652 344021304