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3040860736 = 266121132
BaseRepresentation
bin1011010100111111…
…1101101001000000
321211220220201201201
42311033331221000
522211430020421
61221424110544
7135232614124
oct26517755100
97756821651
103040860736
111320539751
1270a465454
13395cbcaa4
1420bc01584
1512be65b91
hexb53fda40

3040860736 has 63 divisors (see below), whose sum is σ = 6189521403. Its totient is φ = 1482270720.

The previous prime is 3040860731. The next prime is 3040860761. The reversal of 3040860736 is 6370680403.

It is a happy number.

The square root of 3040860736 is 55144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2749953600 + 290907136 = 52440^2 + 17056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3040860695 and 3040860704.

It is not an unprimeable number, because it can be changed into a prime (3040860731) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 26910216 + ... + 26910328.

Almost surely, 23040860736 is an apocalyptic number.

3040860736 is the 55144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040860736

3040860736 is an abundant number, since it is smaller than the sum of its proper divisors (3148660667).

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

3040860736 is an frugal number, since it uses more digits than its factorization.

3040860736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The cubic root of 3040860736 is about 1448.7679960830.

The spelling of 3040860736 in words is "three billion, forty million, eight hundred sixty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 113 122 226 244 452 488 904 976 1808 1952 3616 3721 3904 6893 7232 7442 12769 13786 14884 25538 27572 29768 51076 55144 59536 102152 110288 119072 204304 220576 238144 408608 420473 441152 778909 817216 840946 1557818 1681892 3115636 3363784 6231272 6727568 12462544 13455136 24925088 26910272 47513449 49850176 95026898 190053796 380107592 760215184 1520430368 3040860736