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230134304 = 2517433977
BaseRepresentation
bin11011011011110…
…01001000100000
3121001001000220202
431231321020200
5432403244204
634500324332
75463052331
oct1555711040
9531030822
10230134304
111089a5344
12650a36a8
13388a845a
14227c8288
151530ce1e
hexdb79220

230134304 has 48 divisors (see below), whose sum is σ = 481328568. Its totient is φ = 107937792.

The previous prime is 230134249. The next prime is 230134313. The reversal of 230134304 is 403431032.

It can be written as a sum of positive squares in 4 ways, for example, as 220819600 + 9314704 = 14860^2 + 3052^2 .

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 7 ways as a sum of consecutive naturals, for example, 235064 + ... + 236040.

Almost surely, 2230134304 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 230134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240664284).

230134304 is an abundant number, since it is smaller than the sum of its proper divisors (251194264).

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

230134304 is a wasteful number, since it uses less digits than its factorization.

230134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 230134304 is about 15170.1781136544. The cubic root of 230134304 is about 612.8118009303.

Adding to 230134304 its reverse (403431032), we get a palindrome (633565336).

The spelling of 230134304 in words is "two hundred thirty million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 433 544 866 977 1732 1954 3464 3908 6928 7361 7816 13856 14722 15632 16609 29444 31264 33218 58888 66436 117776 132872 235552 265744 423041 531488 846082 1692164 3384328 6768656 7191697 13537312 14383394 28766788 57533576 115067152 230134304