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440130420 = 223257134439
BaseRepresentation
bin11010001110111…
…101101101110100
31010200011221102200
4122032331231310
51400133133140
6111401304500
713623022032
oct3216755564
91120157380
10440130420
11206495554
12103495130
1370252602
144264d552
152898e030
hex1a3bdb74

440130420 has 72 divisors (see below), whose sum is σ = 1353905280. Its totient is φ = 115711680.

The previous prime is 440130403. The next prime is 440130463. The reversal of 440130420 is 24031044.

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

It is a junction number, because it is equal to n+sod(n) for n = 440130393 and 440130402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (18804240).

Almost surely, 2440130420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

440130420 is an abundant number, since it is smaller than the sum of its proper divisors (913774860).

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

440130420 is a wasteful number, since it uses less digits than its factorization.

440130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34525 (or 34520 counting only the distinct ones).

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

The square root of 440130420 is about 20979.2854978429. The cubic root of 440130420 is about 760.6656333740.

Adding to 440130420 its reverse (24031044), we get a palindrome (464161464).

The spelling of 440130420 in words is "four hundred forty million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 34439 68878 103317 137756 172195 206634 309951 344390 413268 516585 619902 688780 1033170 1239804 1549755 2066340 2445169 3099510 4890338 6199020 7335507 9780676 12225845 14671014 22006521 24451690 29342028 36677535 44013042 48903380 73355070 88026084 110032605 146710140 220065210 440130420