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131245344 = 25321074259
BaseRepresentation
bin1111101001010…
…10010100100000
3100010221221202200
413310222110200
5232044322334
621005013200
73152365326
oct764522440
9303857680
10131245344
11680a262a
1237b54200
1321263589
1413605d16
15b7c7799
hex7d2a520

131245344 has 72 divisors (see below), whose sum is σ = 376805520. Its totient is φ = 43329408.

The previous prime is 131245277. The next prime is 131245393. The reversal of 131245344 is 443542131.

It is a happy number.

131245344 is a `hidden beast` number, since 1 + 3 + 124 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28687 + ... + 32945.

It is an arithmetic number, because the mean of its divisors is an integer number (5233410).

Almost surely, 2131245344 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 131245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188402760).

131245344 is an abundant number, since it is smaller than the sum of its proper divisors (245560176).

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

131245344 is a wasteful number, since it uses less digits than its factorization.

131245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4371 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 131245344 is about 11456.2360310880. The cubic root of 131245344 is about 508.1921690139.

Adding to 131245344 its reverse (443542131), we get a palindrome (574787475).

It can be divided in two parts, 1312 and 45344, that added together give a 6-th power (46656 = 66).

The spelling of 131245344 in words is "one hundred thirty-one million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 4259 5136 7704 8518 10272 12777 15408 17036 25554 30816 34072 38331 51108 68144 76662 102216 136288 153324 204432 306648 408864 455713 613296 911426 1226592 1367139 1822852 2734278 3645704 4101417 5468556 7291408 8202834 10937112 14582816 16405668 21874224 32811336 43748448 65622672 131245344