Search a number
-
+
345021324 = 223176725243
BaseRepresentation
bin10100100100001…
…001101110001100
3220001012220021120
4110210021232030
51201311140244
654123000540
711356430034
oct2444115614
9801186246
10345021324
1116783469a
1297669150
135663203b
1433b728c4
1520453819
hex14909b8c

345021324 has 48 divisors (see below), whose sum is σ = 865162368. Its totient is φ = 106622208.

The previous prime is 345021319. The next prime is 345021331. The reversal of 345021324 is 423120543.

It is a junction number, because it is equal to n+sod(n) for n = 345021294 and 345021303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047 + ... + 26289.

It is an arithmetic number, because the mean of its divisors is an integer number (18024216).

Almost surely, 2345021324 is an apocalyptic number.

345021324 is a gapful number since it is divisible by the number (34) 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 345021324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432581184).

345021324 is an abundant number, since it is smaller than the sum of its proper divisors (520141044).

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

345021324 is a wasteful number, since it uses less digits than its factorization.

345021324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25334 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345021324 is about 18574.7496349211. The cubic root of 345021324 is about 701.3723580581.

Adding to 345021324 its reverse (423120543), we get a palindrome (768141867).

The spelling of 345021324 in words is "three hundred forty-five million, twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 804 1139 2278 3417 4556 6834 13668 25243 50486 75729 100972 151458 302916 429131 858262 1287393 1691281 1716524 2574786 3382562 5073843 5149572 6765124 10147686 20295372 28751777 57503554 86255331 115007108 172510662 345021324