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230431410 = 232511435413
BaseRepresentation
bin11011011110000…
…01101010110010
3121001121010110200
431233001222302
5432442301120
634510540030
75465430456
oct1557015262
9531533420
10230431410
11109088590
1265207616
1338980761
1422864666
151536ae90
hexdbc1ab2

230431410 has 96 divisors (see below), whose sum is σ = 668910528. Its totient is φ = 54552960.

The previous prime is 230431391. The next prime is 230431417. The reversal of 230431410 is 14134032.

230431410 is a `hidden beast` number, since 230 + 431 + 4 + 1 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230431417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39864 + ... + 45276.

It is an arithmetic number, because the mean of its divisors is an integer number (6967818).

Almost surely, 2230431410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230431410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334455264).

230431410 is an abundant number, since it is smaller than the sum of its proper divisors (438479118).

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

230431410 is a wasteful number, since it uses less digits than its factorization.

230431410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230431410 is about 15179.9673912693. The cubic root of 230431410 is about 613.0754031898.

Adding to 230431410 its reverse (14134032), we get a palindrome (244565442).

It can be divided in two parts, 2304314 and 10, that added together give a square (2304324 = 15182).

The spelling of 230431410 in words is "two hundred thirty million, four hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 5413 7095 8514 10826 14190 16239 21285 27065 32478 42570 48717 54130 59543 81195 97434 119086 162390 178629 232759 243585 297715 357258 465518 487170 535887 595430 698277 893145 1071774 1163795 1396554 1786290 2094831 2327590 2560349 2679435 3491385 4189662 5120698 5358870 6982770 7681047 10474155 12801745 15362094 20948310 23043141 25603490 38405235 46086282 76810470 115215705 230431410