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230434260 = 22357311197
BaseRepresentation
bin11011011110000…
…10010111010100
3121001121021101020
431233002113110
5432442344020
634511001140
75465442000
oct1557022724
9531537336
10230434260
1110908a741
12652091b0
1338981b44
1422865700
151536bc40
hexdbc25d4

230434260 has 96 divisors (see below), whose sum is σ = 752505600. Its totient is φ = 52665984.

The previous prime is 230434229. The next prime is 230434289. The reversal of 230434260 is 62434032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230434260.

It is a congruent number.

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, 14982 + ... + 26178.

It is an arithmetic number, because the mean of its divisors is an integer number (7838600).

Almost surely, 2230434260 is an apocalyptic number.

230434260 is a gapful number since it is divisible by the number (20) 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 230434260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376252800).

230434260 is an abundant number, since it is smaller than the sum of its proper divisors (522071340).

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

230434260 is a wasteful number, since it uses less digits than its factorization.

230434260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 230434260 is about 15180.0612646985. The cubic root of 230434260 is about 613.0779307065.

Adding to 230434260 its reverse (62434032), we get a palindrome (292868292).

The spelling of 230434260 in words is "two hundred thirty million, four hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 11197 20580 22394 33591 44788 55985 67182 78379 111970 134364 156758 167955 223940 235137 313516 335910 391895 470274 548653 671820 783790 940548 1097306 1175685 1567580 1645959 2194612 2351370 2743265 3291918 3840571 4702740 5486530 6583836 7681142 8229795 10973060 11521713 15362284 16459590 19202855 23043426 32919180 38405710 46086852 57608565 76811420 115217130 230434260