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131343408 = 24327229569
BaseRepresentation
bin1111101010000…
…10010000110000
3100011010221021200
413311002100300
5232110442113
621011051200
73153254250
oct765022060
9304127250
10131343408
116815a279
1237ba0b00
13212990c1
141362d960
15b7e6873
hex7d42430

131343408 has 120 divisors (see below), whose sum is σ = 422666400. Its totient is φ = 37297152.

The previous prime is 131343379. The next prime is 131343449. The reversal of 131343408 is 804343131.

131343408 is a `hidden beast` number, since 1 + 313 + 4 + 340 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230548 + ... + 231116.

It is an arithmetic number, because the mean of its divisors is an integer number (3522220).

Almost surely, 2131343408 is an apocalyptic number.

131343408 is a gapful number since it is divisible by the number (18) 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 131343408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211333200).

131343408 is an abundant number, since it is smaller than the sum of its proper divisors (291322992).

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

131343408 is a wasteful number, since it uses less digits than its factorization.

131343408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131343408 is about 11460.5151716666. The cubic root of 131343408 is about 508.3187079790.

Adding to 131343408 its reverse (804343131), we get a palindrome (935686539).

The spelling of 131343408 in words is "one hundred thirty-one million, three hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 229 252 336 458 504 569 687 916 1008 1138 1374 1603 1707 1832 2061 2276 2748 3206 3414 3664 3983 4122 4552 4809 5121 5496 6412 6828 7966 8244 9104 9618 10242 10992 11949 12824 13656 14427 15932 16488 19236 20484 23898 25648 27312 28854 31864 32976 35847 38472 40968 47796 57708 63728 71694 76944 81936 95592 115416 130301 143388 191184 230832 260602 286776 390903 521204 573552 781806 912107 1042408 1172709 1563612 1824214 2084816 2345418 2736321 3127224 3648428 4690836 5472642 6254448 7296856 8208963 9381672 10945284 14593712 16417926 18763344 21890568 32835852 43781136 65671704 131343408