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230324300 = 225223239419
BaseRepresentation
bin11011011101001…
…11100001001100
3121001101200112122
431232213201030
5432430334200
634504352112
75464503263
oct1556474114
9531350478
10230324300
11109015068
1265175638
1338943a8b
14228375da
1515349385
hexdba784c

230324300 has 72 divisors (see below), whose sum is σ = 524966400. Its totient is φ = 87545920.

The previous prime is 230324291. The next prime is 230324309. The reversal of 230324300 is 3423032.

It is an interprime number because it is at equal distance from previous prime (230324291) and next prime (230324309).

It is not an unprimeable number, because it can be changed into a prime (230324309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549491 + ... + 549909.

It is an arithmetic number, because the mean of its divisors is an integer number (7291200).

Almost surely, 2230324300 is an apocalyptic number.

230324300 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 230324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

230324300 is an abundant number, since it is smaller than the sum of its proper divisors (294642100).

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

230324300 is a wasteful number, since it uses less digits than its factorization.

230324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 230324300 is about 15176.4389762553. The cubic root of 230324300 is about 612.9803977917.

Adding to 230324300 its reverse (3423032), we get a palindrome (233747332).

The spelling of 230324300 in words is "two hundred thirty million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 239 419 460 478 575 838 956 1150 1195 1676 2095 2300 2390 4190 4780 5497 5975 8380 9637 10475 10994 11950 19274 20950 21988 23900 27485 38548 41900 48185 54970 96370 100141 109940 137425 192740 200282 240925 274850 400564 481850 500705 549700 963700 1001410 2002820 2303243 2503525 4606486 5007050 9212972 10014100 11516215 23032430 46064860 57581075 115162150 230324300