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230432340 = 223553233311
BaseRepresentation
bin11011011110000…
…01111001010100
3121001121011202010
431233001321110
5432442313330
634510544220
75465433255
oct1557017124
9531534663
10230432340
11109089256
1265208070
1338980cc8
1422864b2c
151536b3b0
hexdbc1e54

230432340 has 96 divisors (see below), whose sum is σ = 662328576. Its totient is φ = 59837440.

The previous prime is 230432317. The next prime is 230432353. The reversal of 230432340 is 43234032.

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, 740785 + ... + 741095.

It is an arithmetic number, because the mean of its divisors is an integer number (6899256).

Almost surely, 2230432340 is an apocalyptic number.

230432340 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 230432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331164288).

230432340 is an abundant number, since it is smaller than the sum of its proper divisors (431896236).

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

230432340 is a wasteful number, since it uses less digits than its factorization.

230432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 230432340 is about 15179.9980237153. The cubic root of 230432340 is about 613.0762279607.

Adding to 230432340 its reverse (43234032), we get a palindrome (273666372).

The spelling of 230432340 in words is "two hundred thirty million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 233 265 311 318 466 530 622 636 699 795 932 933 1060 1165 1244 1398 1555 1590 1866 2330 2796 3110 3180 3495 3732 4660 4665 6220 6990 9330 12349 13980 16483 18660 24698 32966 37047 49396 49449 61745 65932 72463 74094 82415 98898 123490 144926 148188 164830 185235 197796 217389 246980 247245 289852 329660 362315 370470 434778 494490 724630 740940 869556 988980 1086945 1449260 2173890 3840539 4347780 7681078 11521617 15362156 19202695 23043234 38405390 46086468 57608085 76810780 115216170 230432340