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40344300 = 223252231949
BaseRepresentation
bin1001100111100…
…1101011101100
32210220200222100
42121321223230
540312004200
64000415100
7666630603
oct231715354
983820870
1040344300
11208562a7
1211617490
138487489
145502a3a
15381dd00
hex2679aec

40344300 has 108 divisors (see below), whose sum is σ = 132022800. Its totient is φ = 10285440.

The previous prime is 40344263. The next prime is 40344301. The reversal of 40344300 is 344304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40344301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19726 + ... + 21674.

Almost surely, 240344300 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 40344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66011400).

40344300 is an abundant number, since it is smaller than the sum of its proper divisors (91678500).

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

40344300 is a wasteful number, since it uses less digits than its factorization.

40344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40344300 is about 6351.7163034884. The cubic root of 40344300 is about 342.9736285743.

Adding to 40344300 its reverse (344304), we get a palindrome (40688604).

The spelling of 40344300 in words is "forty million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 1949 2070 2300 3450 3898 4140 5175 5847 6900 7796 9745 10350 11694 17541 19490 20700 23388 29235 35082 38980 44827 48725 58470 70164 87705 89654 97450 116940 134481 146175 175410 179308 194900 224135 268962 292350 350820 403443 438525 448270 537924 584700 672405 806886 877050 896540 1120675 1344810 1613772 1754100 2017215 2241350 2689620 3362025 4034430 4482700 6724050 8068860 10086075 13448100 20172150 40344300