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131043344 = 24172937449
BaseRepresentation
bin1111100111110…
…01000000010000
3100010120200200012
413303321000100
5232021341334
621000414052
73150564365
oct763710020
9303520605
10131043344
1167a74893
1237a77328
13211c2653
141359246c
15b7879ce
hex7cf9010

131043344 has 80 divisors (see below), whose sum is σ = 286254000. Its totient is φ = 57802752.

The previous prime is 131043343. The next prime is 131043349. The reversal of 131043344 is 443340131.

It can be written as a sum of positive squares in 8 ways, for example, as 24127744 + 106915600 = 4912^2 + 10340^2 .

It is not an unprimeable number, because it can be changed into a prime (131043343) 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, 291632 + ... + 292080.

It is an arithmetic number, because the mean of its divisors is an integer number (3578175).

Almost surely, 2131043344 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 131043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143127000).

131043344 is an abundant number, since it is smaller than the sum of its proper divisors (155210656).

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

131043344 is a wasteful number, since it uses less digits than its factorization.

131043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 131043344 is about 11447.4164770921. The cubic root of 131043344 is about 507.9313152431.

Adding to 131043344 its reverse (443340131), we get a palindrome (574383475).

The spelling of 131043344 in words is "one hundred thirty-one million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 29 34 37 58 68 74 116 136 148 232 272 296 449 464 493 592 629 898 986 1073 1258 1796 1972 2146 2516 3592 3944 4292 5032 7184 7633 7888 8584 10064 13021 15266 16613 17168 18241 26042 30532 33226 36482 52084 61064 66452 72964 104168 122128 132904 145928 208336 221357 265808 282421 291856 442714 481777 564842 885428 963554 1129684 1770856 1927108 2259368 3541712 3854216 4518736 7708432 8190209 16380418 32760836 65521672 131043344