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312430230 = 23357533119
BaseRepresentation
bin10010100111110…
…100111010010110
3210202220002201000
4102213310322112
51114440231410
651000244130
710512420210
oct2247647226
9722802630
10312430230
111503a4502
1288770646
134c960878
142d6cb5b0
151c666dc0
hex129f4e96

312430230 has 128 divisors (see below), whose sum is σ = 970444800. Its totient is φ = 70042752.

The previous prime is 312430219. The next prime is 312430247. The reversal of 312430230 is 32034213.

312430230 is a `hidden beast` number, since 3 + 1 + 2 + 430 + 230 = 666.

It is a super-2 number, since 2×3124302302 = 195225297235705800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98611 + ... + 101729.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2312430230 is an apocalyptic number.

312430230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312430230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485222400).

312430230 is an abundant number, since it is smaller than the sum of its proper divisors (658014570).

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

312430230 is a wasteful number, since it uses less digits than its factorization.

312430230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3189 counting only the distinct ones).

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

The square root of 312430230 is about 17675.6960258995. The cubic root of 312430230 is about 678.5538977452.

Adding to 312430230 its reverse (32034213), we get a palindrome (344464443).

The spelling of 312430230 in words is "three hundred twelve million, four hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1590 1855 1890 2226 2385 2862 3119 3339 3710 4770 5565 6238 6678 7155 9357 10017 11130 14310 15595 16695 18714 20034 21833 28071 31190 33390 43666 46785 50085 56142 65499 84213 93570 100170 109165 130998 140355 165307 168426 196497 218330 280710 327495 330614 392994 421065 495921 589491 654990 826535 842130 982485 991842 1157149 1178982 1487763 1653070 1964970 2314298 2479605 2947455 2975526 3471447 4463289 4959210 5785745 5894910 6942894 7438815 8926578 10414341 11571490 14877630 17357235 20828682 22316445 31243023 34714470 44632890 52071705 62486046 104143410 156215115 312430230