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3440311413 = 372116913079
BaseRepresentation
bin1100110100001110…
…1111110001110101
322212202112221001020
43031003233301311
524021204431123
61325213451353
7151153110300
oct31503576165
98782487036
103440311413
111505a69980
128001a0b59
1342a99b336
14248ca1b37
1515206b7e3
hexcd0efc75

3440311413 has 48 divisors (see below), whose sum is σ = 5831400960. Its totient is φ = 1784008800.

The previous prime is 3440311409. The next prime is 3440311421. The reversal of 3440311413 is 3141130443.

It is not a de Polignac number, because 3440311413 - 22 = 3440311409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440311463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115808 + ... + 1118886.

It is an arithmetic number, because the mean of its divisors is an integer number (121487520).

Almost surely, 23440311413 is an apocalyptic number.

3440311413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3440311413 is a deficient number, since it is larger than the sum of its proper divisors (2391089547).

3440311413 is a wasteful number, since it uses less digits than its factorization.

3440311413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3440311413 is about 58654.1679081717. The cubic root of 3440311413 is about 1509.6140137353.

Adding to 3440311413 its reverse (3141130443), we get a palindrome (6581441856).

The spelling of 3440311413 in words is "three billion, four hundred forty million, three hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 691 1617 2073 3079 4837 7601 9237 14511 21553 22803 33859 33869 53207 64659 101577 101607 150871 159621 237083 372449 452613 711249 1117347 1659581 2127589 4978743 6382767 14893123 23403479 44679369 70210437 104251861 163824353 312755583 491473059 1146770471 3440311413