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440105430 = 235433111097
BaseRepresentation
bin11010001110110…
…111100111010110
31010200010200011010
4122032313213112
51400131333210
6111400553050
713622556132
oct3216674726
91120120133
10440105430
112064787a6
12103482786
137024411b
14426443c2
1528986920
hex1a3b79d6

440105430 has 64 divisors (see below), whose sum is σ = 1085280768. Its totient is φ = 114159360.

The previous prime is 440105429. The next prime is 440105431. The reversal of 440105430 is 34501044.

It is an interprime number because it is at equal distance from previous prime (440105429) and next prime (440105431).

It is a junction number, because it is equal to n+sod(n) for n = 440105397 and 440105406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440105431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400642 + ... + 401738.

It is an arithmetic number, because the mean of its divisors is an integer number (16957512).

Almost surely, 2440105430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440105430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542640384).

440105430 is an abundant number, since it is smaller than the sum of its proper divisors (645175338).

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

440105430 is a wasteful number, since it uses less digits than its factorization.

440105430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 440105430 is about 20978.6899018981. The cubic root of 440105430 is about 760.6512365853.

Adding to 440105430 its reverse (34501044), we get a palindrome (474606474).

The spelling of 440105430 in words is "four hundred forty million, one hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 311 430 622 645 933 1097 1290 1555 1866 2194 3110 3291 4665 5485 6582 9330 10970 13373 16455 26746 32910 40119 47171 66865 80238 94342 133730 141513 200595 235855 283026 341167 401190 471710 682334 707565 1023501 1415130 1705835 2047002 3411670 5117505 10235010 14670181 29340362 44010543 73350905 88021086 146701810 220052715 440105430