Search a number
-
+
42440310 = 232511163263
BaseRepresentation
bin1010000111100…
…1011001110110
32221212012011100
42201321121312
541331042220
64113350530
71023510453
oct241713166
987765140
1042440310
1121a58040
1212268446
138a3c513
1458ca82a
153ad4d90
hex2879676

42440310 has 96 divisors (see below), whose sum is σ = 121575168. Its totient is φ = 10186560.

The previous prime is 42440309. The next prime is 42440327. The reversal of 42440310 is 1304424.

It is a super-2 number, since 2×424403102 = 3602359825792200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161239 + ... + 161501.

It is an arithmetic number, because the mean of its divisors is an integer number (1266408).

Almost surely, 242440310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60787584).

42440310 is an abundant number, since it is smaller than the sum of its proper divisors (79134858).

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

42440310 is a wasteful number, since it uses less digits than its factorization.

42440310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

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

The square root of 42440310 is about 6514.6227826329. The cubic root of 42440310 is about 348.8131500089.

Adding to 42440310 its reverse (1304424), we get a palindrome (43744734).

The spelling of 42440310 in words is "forty-two million, four hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 163 165 198 263 326 330 489 495 526 789 815 978 990 1315 1467 1578 1630 1793 2367 2445 2630 2893 2934 3586 3945 4734 4890 5379 5786 7335 7890 8679 8965 10758 11835 14465 14670 16137 17358 17930 23670 26037 26895 28930 32274 42869 43395 52074 53790 80685 85738 86790 128607 130185 161370 214345 257214 260370 385821 428690 471559 643035 771642 943118 1286070 1414677 1929105 2357795 2829354 3858210 4244031 4715590 7073385 8488062 14146770 21220155 42440310