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304020444 = 2237131914653
BaseRepresentation
bin10010000111101…
…111101111011100
3210012001211122110
4102013233233130
51110312123234
650100114020
710351062660
oct2207575734
9705054573
10304020444
11146680072
1285995910
134aca7a70
142c53c8a0
151ba551e9
hex121efbdc

304020444 has 96 divisors (see below), whose sum is σ = 919098880. Its totient is φ = 75955968.

The previous prime is 304020397. The next prime is 304020481. The reversal of 304020444 is 444020403.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 304020444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13422 + ... + 28074.

Almost surely, 2304020444 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 304020444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459549440).

304020444 is an abundant number, since it is smaller than the sum of its proper divisors (615078436).

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

304020444 is a wasteful number, since it uses less digits than its factorization.

304020444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14699 (or 14697 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 304020444 is about 17436.1820362142. The cubic root of 304020444 is about 672.4101538783.

Adding to 304020444 its reverse (444020403), we get a palindrome (748040847).

The spelling of 304020444 in words is "three hundred four million, twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 5187 6916 10374 14653 20748 29306 43959 58612 87918 102571 175836 190489 205142 278407 307713 380978 410284 556814 571467 615426 761956 835221 1113628 1142934 1230852 1333423 1670442 1948849 2285868 2666846 3340884 3619291 3897698 4000269 5333692 5846547 7238582 7795396 8000538 10857873 11693094 14477164 16001076 21715746 23386188 25335037 43431492 50670074 76005111 101340148 152010222 304020444