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1744042240 = 2851780149
BaseRepresentation
bin110011111110011…
…1111100100000000
311111112201112012001
41213330333210000
512032433322430
6445020513344
761135054153
oct14774774400
94445645161
101744042240
11815514826
124080ab854
1321a429c75
141278abc9a
15a31a33ca
hex67f3f900

1744042240 has 72 divisors (see below), whose sum is σ = 4423318200. Its totient is φ = 656572416.

The previous prime is 1744042199. The next prime is 1744042253. The reversal of 1744042240 is 422404471.

It can be written as a sum of positive squares in 4 ways, for example, as 851705856 + 892336384 = 29184^2 + 29872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1744042199 and 1744042208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18315 + ... + 61834.

It is an arithmetic number, because the mean of its divisors is an integer number (61434975).

Almost surely, 21744042240 is an apocalyptic number.

1744042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1744042240 is an abundant number, since it is smaller than the sum of its proper divisors (2679275960).

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

1744042240 is an equidigital number, since it uses as much as digits as its factorization.

1744042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80187 (or 80173 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 1744042240 is about 41761.7317648586. The cubic root of 1744042240 is about 1203.7020487659.

The spelling of 1744042240 in words is "one billion, seven hundred forty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 80149 160298 320596 400745 641192 801490 1282384 1362533 1602980 2564768 2725066 3205960 5129536 5450132 6411920 6812665 10259072 10900264 12823840 13625330 20518144 21800528 25647680 27250660 43601056 51295360 54501320 87202112 102590720 109002640 174404224 218005280 348808448 436010560 872021120 1744042240