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31343424 = 263723321
BaseRepresentation
bin111011110010…
…0001101000000
32011222102002120
41313210031000
531010442144
63035444240
7530262150
oct167441500
964872076
1031343424
1116768862
12a5b6680
136655608
14423c760
152b41e19
hex1de4340

31343424 has 56 divisors (see below), whose sum is σ = 94780608. Its totient is φ = 8954880.

The previous prime is 31343423. The next prime is 31343441. The reversal of 31343424 is 42434313.

31343424 = T127 + T128 + ... + T574.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31343394 and 31343403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31343423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10317 + ... + 13004.

Almost surely, 231343424 is an apocalyptic number.

It is an amenable number.

31343424 is an abundant number, since it is smaller than the sum of its proper divisors (63437184).

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

31343424 is a wasteful number, since it uses less digits than its factorization.

31343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23343 (or 23333 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 31343424 is about 5598.5198043769. The cubic root of 31343424 is about 315.2938351698.

Adding to 31343424 its reverse (42434313), we get a palindrome (73777737).

The spelling of 31343424 in words is "thirty-one million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 23321 46642 69963 93284 139926 163247 186568 279852 326494 373136 489741 559704 652988 746272 979482 1119408 1305976 1492544 1958964 2238816 2611952 3917928 4477632 5223904 7835856 10447808 15671712 31343424