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230330304 = 2634157283
BaseRepresentation
bin11011011101010…
…00111111000000
3121001101222210000
431232220333000
5432431032204
634504440000
75464526631
oct1556507700
9531358700
10230330304
11109019626
1265179000
1338946729
1422839888
151534b039
hexdba8fc0

230330304 has 140 divisors (see below), whose sum is σ = 689548024. Its totient is φ = 76018176.

The previous prime is 230330299. The next prime is 230330311. The reversal of 230330304 is 403033032.

230330304 is a `hidden beast` number, since 2 + 30 + 330 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 813747 + ... + 814029.

Almost surely, 2230330304 is an apocalyptic number.

230330304 is a gapful number since it is divisible by the number (24) 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 230330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344774012).

230330304 is an abundant number, since it is smaller than the sum of its proper divisors (459217720).

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

230330304 is a wasteful number, since it uses less digits than its factorization.

230330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230330304 is about 15176.6367815798. The cubic root of 230330304 is about 612.9857240532.

Adding to 230330304 its reverse (403033032), we get a palindrome (633363336).

The spelling of 230330304 in words is "two hundred thirty million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 283 288 314 324 432 471 566 576 628 648 849 864 942 1132 1256 1296 1413 1698 1728 1884 2264 2512 2547 2592 2826 3396 3768 4239 4528 5024 5094 5184 5652 6792 7536 7641 8478 9056 10048 10188 11304 12717 13584 15072 15282 16956 18112 20376 22608 22923 25434 27168 30144 30564 33912 40752 44431 45216 45846 50868 54336 61128 67824 81504 88862 90432 91692 101736 122256 133293 135648 163008 177724 183384 203472 244512 266586 271296 355448 366768 399879 406944 489024 533172 710896 733536 799758 813888 1066344 1199637 1421792 1467072 1599516 2132688 2399274 2843584 3199032 3598911 4265376 4798548 6398064 7197822 8530752 9597096 12796128 14395644 19194192 25592256 28791288 38388384 57582576 76776768 115165152 230330304