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230240304 = 24327239931
BaseRepresentation
bin11011011100100…
…11000000110000
3121001020102022200
431232103000300
5432420142204
634502503200
75464003350
oct1556230060
9531212280
10230240304
11108a67a48
1265134b00
1338914788
1422814b60
151532e539
hexdb93030

230240304 has 120 divisors (see below), whose sum is σ = 768498432. Its totient is φ = 62916480.

The previous prime is 230240303. The next prime is 230240323. The reversal of 230240304 is 403042032.

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

It is not an unprimeable number, because it can be changed into a prime (230240303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18219 + ... + 28149.

Almost surely, 2230240304 is an apocalyptic number.

230240304 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 230240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384249216).

230240304 is an abundant number, since it is smaller than the sum of its proper divisors (538258128).

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

230240304 is a wasteful number, since it uses less digits than its factorization.

230240304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230240304 is about 15173.6714080673. The cubic root of 230240304 is about 612.9058736508.

Adding to 230240304 its reverse (403042032), we get a palindrome (633282336).

The spelling of 230240304 in words is "two hundred thirty million, two hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 9931 11592 19862 23184 29793 39724 59586 69517 79448 89379 119172 139034 158896 178758 208551 228413 238344 278068 357516 417102 456826 476688 556136 625653 685239 715032 834204 913652 1112272 1251306 1370478 1430064 1598891 1668408 1827304 2055717 2502612 2740956 3197782 3336816 3654608 4111434 4796673 5005224 5481912 6395564 8222868 9593346 10010448 10963824 12791128 14390019 16445736 19186692 25582256 28780038 32891472 38373384 57560076 76746768 115120152 230240304