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230790672 = 24327228959
BaseRepresentation
bin11011100000110…
…01011000010000
3121002021101021200
431300121120100
5433040300142
634522351200
75501455050
oct1560313020
9532241250
10230790672
111093034a2
126535b500
1338a78138
1422919560
15153dc64c
hexdc19610

230790672 has 60 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 65939904.

The previous prime is 230790667. The next prime is 230790709. The reversal of 230790672 is 276097032.

It is a super-3 number, since 3×2307906723 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 113472 + ... + 115487.

It is an arithmetic number, because the mean of its divisors is an integer number (12302784).

Almost surely, 2230790672 is an apocalyptic number.

It is an amenable number.

230790672 is an abundant number, since it is smaller than the sum of its proper divisors (507376368).

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

230790672 is a wasteful number, since it uses less digits than its factorization.

230790672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228980 (or 228971 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 230790672 is about 15191.7962071639. The cubic root of 230790672 is about 613.3938498364.

The spelling of 230790672 in words is "two hundred thirty million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 228959 457918 686877 915836 1373754 1602713 1831672 2060631 2747508 3205426 3663344 4121262 4808139 5495016 6410852 8242524 9616278 10990032 12821704 14424417 16485048 19232556 25643408 28848834 32970096 38465112 57697668 76930224 115395336 230790672