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230314320 = 24335106627
BaseRepresentation
bin11011011101001…
…01000101010000
3121001101011212000
431232211011100
5432430024240
634504234000
75464432215
oct1556450520
9531334760
10230314320
11109008615
126516b900
133893c382
1422833b0c
1515346430
hexdba5150

230314320 has 80 divisors (see below), whose sum is σ = 793312320. Its totient is φ = 61416576.

The previous prime is 230314291. The next prime is 230314361. The reversal of 230314320 is 23413032.

230314320 is a `hidden beast` number, since 2 + 30 + 314 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 230314293 and 230314302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51154 + ... + 55473.

It is an arithmetic number, because the mean of its divisors is an integer number (9916404).

Almost surely, 2230314320 is an apocalyptic number.

230314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230314320 is an abundant number, since it is smaller than the sum of its proper divisors (562998000).

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

230314320 is a wasteful number, since it uses less digits than its factorization.

230314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106649 (or 106637 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230314320 is about 15176.1101735590. The cubic root of 230314320 is about 612.9715441410.

Adding to 230314320 its reverse (23413032), we get a palindrome (253727352).

The spelling of 230314320 in words is "two hundred thirty million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 106627 213254 319881 426508 533135 639762 853016 959643 1066270 1279524 1599405 1706032 1919286 2132540 2559048 2878929 3198810 3838572 4265080 4798215 5118096 5757858 6397620 7677144 8530160 9596430 11515716 12795240 14394645 15354288 19192860 23031432 25590480 28789290 38385720 46062864 57578580 76771440 115157160 230314320