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1443312340 = 2254114911813
BaseRepresentation
bin101011000000111…
…0011001011010100
310201120211212022121
41112001303023110
510423441443330
6355115105324
750523644461
oct12601631324
93646755277
101443312340
11680791a18
12343442244
131a0034b92
14d9988668
1586a9d17a
hex560732d4

1443312340 has 48 divisors (see below), whose sum is σ = 3125984400. Its totient is φ = 559416320.

The previous prime is 1443312293. The next prime is 1443312341. The reversal of 1443312340 is 432133441.

It can be written as a sum of positive squares in 8 ways, for example, as 494795536 + 948516804 = 22244^2 + 30798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1443312341) 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, 116274 + ... + 128086.

It is an arithmetic number, because the mean of its divisors is an integer number (65124675).

Almost surely, 21443312340 is an apocalyptic number.

1443312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562992200).

1443312340 is an abundant number, since it is smaller than the sum of its proper divisors (1682672060).

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

1443312340 is a wasteful number, since it uses less digits than its factorization.

1443312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1443312340 is about 37990.9507646229. The cubic root of 1443312340 is about 1130.1084136461.

Adding to 1443312340 its reverse (432133441), we get a palindrome (1875445781).

The spelling of 1443312340 in words is "one billion, four hundred forty-three million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 596 745 820 1490 2980 6109 11813 12218 23626 24436 30545 47252 59065 61090 118130 122180 236260 484333 968666 1760137 1937332 2421665 3520274 4843330 7040548 8800685 9686660 17601370 35202740 72165617 144331234 288662468 360828085 721656170 1443312340