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230340132 = 223311414729
BaseRepresentation
bin11011011101010…
…11011000100100
3121001102111021000
431232223120210
5432431341012
634504553300
75464600401
oct1556533044
9531374230
10230340132
11109025a50
1265182830
133894b049
142283d2a8
151534dddc
hexdbab624

230340132 has 96 divisors (see below), whose sum is σ = 667497600. Its totient is φ = 68083200.

The previous prime is 230340113. The next prime is 230340151. The reversal of 230340132 is 231043032.

230340132 is a `hidden beast` number, since 230 + 3 + 401 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (230340113) and next prime (230340151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46344 + ... + 51072.

It is an arithmetic number, because the mean of its divisors is an integer number (6953100).

Almost surely, 2230340132 is an apocalyptic number.

230340132 is a gapful number since it is divisible by the number (22) 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 230340132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333748800).

230340132 is an abundant number, since it is smaller than the sum of its proper divisors (437157468).

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

230340132 is a wasteful number, since it uses less digits than its factorization.

230340132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4786 counting only the distinct ones).

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

The square root of 230340132 is about 15176.9605652779. The cubic root of 230340132 is about 612.9944424573.

Adding to 230340132 its reverse (231043032), we get a palindrome (461383164).

The spelling of 230340132 in words is "two hundred thirty million, three hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 4729 5412 8118 9458 12177 14187 16236 18916 24354 28374 42561 48708 52019 56748 85122 104038 127683 156057 170244 193889 208076 255366 312114 387778 468171 510732 581667 624228 775556 936342 1163334 1404513 1745001 1872684 2132779 2326668 2809026 3490002 4265558 5235003 5618052 6398337 6980004 8531116 10470006 12796674 19195011 20940012 25593348 38390022 57585033 76780044 115170066 230340132