Search a number
-
+
230301312 = 2731735279
BaseRepresentation
bin11011011101000…
…01111010000000
3121001100112000020
431232201322000
5432424120222
634504053440
75464346253
oct1556417200
9531315006
10230301312
11108aa986a
1265164280
1338936487
142282d09a
151534265c
hexdba1e80

230301312 has 64 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 72249344.

The previous prime is 230301289. The next prime is 230301359. The reversal of 230301312 is 213103032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 230301291 and 230301300.

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 7 ways as a sum of consecutive naturals, for example, 11112 + ... + 24167.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2230301312 is an apocalyptic number.

It is an amenable number.

230301312 is an abundant number, since it is smaller than the sum of its proper divisors (417439488).

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

230301312 is a wasteful number, since it uses less digits than its factorization.

230301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35313 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230301312 is about 15175.6815991902. The cubic root of 230301312 is about 612.9600038483.

Adding to 230301312 its reverse (213103032), we get a palindrome (443404344).

It can be divided in two parts, 23030 and 1312, that added together give a palindrome (24342).

The spelling of 230301312 in words is "two hundred thirty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 35279 70558 105837 141116 211674 282232 423348 564464 599743 846696 1128928 1199486 1693392 1799229 2257856 2398972 3386784 3598458 4515712 4797944 6773568 7196916 9595888 13547136 14393832 19191776 28787664 38383552 57575328 76767104 115150656 230301312