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3415384648 = 231339782721
BaseRepresentation
bin1100101110010010…
…1010001001001000
322211000122111221201
43023210222021020
523443314302043
61322523313544
7150431201434
oct31344521110
98730574851
103415384648
1114a2994045
127b397b8b4
13425781580
142458539c4
1514ec95c4d
hexcb92a248

3415384648 has 32 divisors (see below), whose sum is σ = 6913904760. Its totient is φ = 1572341760.

The previous prime is 3415384633. The next prime is 3415384649. The reversal of 3415384648 is 8464835143.

It can be written as a sum of positive squares in 4 ways, for example, as 2003278564 + 1412106084 = 44758^2 + 37578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3415384598 and 3415384607.

It is not an unprimeable number, because it can be changed into a prime (3415384649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 82648.

Almost surely, 23415384648 is an apocalyptic number.

It is an amenable number.

3415384648 is an abundant number, since it is smaller than the sum of its proper divisors (3498520112).

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

3415384648 is a wasteful number, since it uses less digits than its factorization.

3415384648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83137 (or 83133 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 3415384648 is about 58441.2923197289. The cubic root of 3415384648 is about 1505.9592047159.

The spelling of 3415384648 in words is "three billion, four hundred fifteen million, three hundred eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 397 794 1588 3176 5161 10322 20644 41288 82721 165442 330884 661768 1075373 2150746 4301492 8602984 32840237 65680474 131360948 262721896 426923081 853846162 1707692324 3415384648