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440124030 = 2355712551
BaseRepresentation
bin11010001110111…
…100001001111110
31010200011121200000
4122032330021332
51400132432110
6111401215130
713622664303
oct3216741176
91120147600
10440124030
11206490775
121034914a6
137024c728
144264b0aa
152898c1c0
hex1a3bc27e

440124030 has 96 divisors (see below), whose sum is σ = 1203890688. Its totient is φ = 115668000.

The previous prime is 440123989. The next prime is 440124059. The reversal of 440124030 is 30421044.

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 = 440123994 and 440124012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171255 + ... + 173805.

It is an arithmetic number, because the mean of its divisors is an integer number (12540528).

Almost surely, 2440124030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440124030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601945344).

440124030 is an abundant number, since it is smaller than the sum of its proper divisors (763766658).

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

440124030 is a wasteful number, since it uses less digits than its factorization.

440124030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2632 counting only the distinct ones).

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

The square root of 440124030 is about 20979.1332042103. The cubic root of 440124030 is about 760.6619521342.

Adding to 440124030 its reverse (30421044), we get a palindrome (470545074).

The spelling of 440124030 in words is "four hundred forty million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 243 270 355 405 426 486 639 710 810 1065 1215 1278 1917 2130 2430 2551 3195 3834 5102 5751 6390 7653 9585 11502 12755 15306 17253 19170 22959 25510 28755 34506 38265 45918 57510 68877 76530 86265 114795 137754 172530 181121 206631 229590 344385 362242 413262 543363 619893 688770 905605 1033155 1086726 1239786 1630089 1811210 2066310 2716815 3099465 3260178 4890267 5433630 6198930 8150445 9780534 14670801 16300890 24451335 29341602 44012403 48902670 73354005 88024806 146708010 220062015 440124030