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1443440340 = 223254324337
BaseRepresentation
bin101011000001001…
…0010011011010100
310201121002100220100
41112002102123110
510424010042330
6355121534100
750525016606
oct12602223324
93647070810
101443440340
1168086a101
123434a4330
131a007b214
14d99bd176
1586ac6060
hex560926d4

1443440340 has 108 divisors (see below), whose sum is σ = 4483661364. Its totient is φ = 375879168.

The previous prime is 1443440333. The next prime is 1443440347. The reversal of 1443440340 is 430443441.

It is an interprime number because it is at equal distance from previous prime (1443440333) and next prime (1443440347).

It can be written as a sum of positive squares in 2 ways, for example, as 194100624 + 1249339716 = 13932^2 + 35346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1443440347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330652 + ... + 334988.

It is an arithmetic number, because the mean of its divisors is an integer number (41515383).

Almost surely, 21443440340 is an apocalyptic number.

1443440340 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 1443440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241830682).

1443440340 is an abundant number, since it is smaller than the sum of its proper divisors (3040221024).

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

1443440340 is a wasteful number, since it uses less digits than its factorization.

1443440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1443440340 is about 37992.6353389706. The cubic root of 1443440340 is about 1130.1418205064.

Adding to 1443440340 its reverse (430443441), we get a palindrome (1873883781).

The spelling of 1443440340 in words is "one billion, four hundred forty-three million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1849 1935 2580 3698 3870 4337 5547 7396 7740 8674 9245 11094 13011 16641 17348 18490 21685 22188 26022 27735 33282 36980 39033 43370 52044 55470 65055 66564 78066 83205 86740 110940 130110 156132 166410 186491 195165 260220 332820 372982 390330 559473 745964 780660 932455 1118946 1678419 1864910 2237892 2797365 3356838 3729820 5594730 6713676 8019113 8392095 11189460 16038226 16784190 24057339 32076452 33568380 40095565 48114678 72172017 80191130 96229356 120286695 144344034 160382260 240573390 288688068 360860085 481146780 721720170 1443440340