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2431296 = 2634767
BaseRepresentation
bin1001010001100101000000
311120112010000
421101211000
51110300141
6124040000
726444220
oct11214500
94515100
102431296
11141073a
12993000
1367184a
14474080
153305b6
hex251940

2431296 has 140 divisors (see below), whose sum is σ = 8359648. Its totient is φ = 684288.

The previous prime is 2431291. The next prime is 2431301. The reversal of 2431296 is 6921342.

It is an interprime number because it is at equal distance from previous prime (2431291) and next prime (2431301).

It is a super-3 number, since 3×24312963 = 43115632493332267008, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36255 + ... + 36321.

22431296 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 2431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179824).

2431296 is an abundant number, since it is smaller than the sum of its proper divisors (5928352).

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

2431296 is an equidigital number, since it uses as much as digits as its factorization.

2431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2431296 is about 1559.2613635950. The cubic root of 2431296 is about 134.4660389743.

The spelling of 2431296 in words is "two million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 67 72 81 84 96 108 112 126 134 144 162 168 189 192 201 216 224 252 268 288 324 336 378 402 432 448 469 504 536 567 576 603 648 672 756 804 864 938 1008 1072 1134 1206 1296 1344 1407 1512 1608 1728 1809 1876 2016 2144 2268 2412 2592 2814 3024 3216 3618 3752 4032 4221 4288 4536 4824 5184 5427 5628 6048 6432 7236 7504 8442 9072 9648 10854 11256 12096 12663 12864 14472 15008 16884 18144 19296 21708 22512 25326 28944 30016 33768 36288 37989 38592 43416 45024 50652 57888 67536 75978 86832 90048 101304 115776 135072 151956 173664 202608 270144 303912 347328 405216 607824 810432 1215648 2431296