Search a number
-
+
440404420 = 225194312689
BaseRepresentation
bin11010010000000…
…000100111000100
31010200200212021211
4122100000213010
51400220420140
6111411221204
713625242621
oct3220004704
91120625254
10440404420
112066623a5
121035a7804
137031a241
14426c1348
15289e52ea
hex1a4009c4

440404420 has 48 divisors (see below), whose sum is σ = 976147200. Its totient is φ = 166440960.

The previous prime is 440404417. The next prime is 440404421. The reversal of 440404420 is 24404044.

It is a junction number, because it is equal to n+sod(n) for n = 440404391 and 440404400.

It is not an unprimeable number, because it can be changed into a prime (440404421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162436 + ... + 165124.

It is an arithmetic number, because the mean of its divisors is an integer number (20336400).

Almost surely, 2440404420 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 440404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488073600).

440404420 is an abundant number, since it is smaller than the sum of its proper divisors (535742780).

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

440404420 is a wasteful number, since it uses less digits than its factorization.

440404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 440404420 is about 20985.8147328142. The cubic root of 440404420 is about 760.8234495867.

Adding to 440404420 its reverse (24404044), we get a palindrome (464808464).

The spelling of 440404420 in words is "four hundred forty million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 431 862 1724 2155 2689 4310 5378 8189 8620 10756 13445 16378 26890 32756 40945 51091 53780 81890 102182 163780 204364 255455 510910 1021820 1158959 2317918 4635836 5794795 11589590 22020221 23179180 44040442 88080884 110101105 220202210 440404420