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442041030 = 23357123059
BaseRepresentation
bin11010010110010…
…000001011000110
31010210210000022000
4122112100023012
51401130303110
6111510250130
713645200234
oct3226201306
91123700260
10442041030
1120757aa72
12104056946
1370771152
14429c9954
1528c1a1c0
hex1a5902c6

442041030 has 64 divisors (see below), whose sum is σ = 1195430400. Its totient is φ = 116212320.

The previous prime is 442041013. The next prime is 442041053. The reversal of 442041030 is 30140244.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442040994 and 442041012.

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, 7641 + ... + 30699.

It is an arithmetic number, because the mean of its divisors is an integer number (18678600).

Almost surely, 2442041030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442041030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597715200).

442041030 is an abundant number, since it is smaller than the sum of its proper divisors (753389370).

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

442041030 is a wasteful number, since it uses less digits than its factorization.

442041030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23146 (or 23140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442041030 is about 21024.7718180246. The cubic root of 442041030 is about 761.7647298966.

Adding to 442041030 its reverse (30140244), we get a palindrome (472181274).

The spelling of 442041030 in words is "four hundred forty-two million, forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1917 2130 3195 3834 6390 9585 19170 23059 46118 69177 115295 138354 207531 230590 345885 415062 622593 691770 1037655 1245186 1637189 2075310 3112965 3274378 4911567 6225930 8185945 9823134 14734701 16371890 24557835 29469402 44204103 49115670 73673505 88408206 147347010 221020515 442041030