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3383480448 = 27322937049
BaseRepresentation
bin1100100110101011…
…1101000010000000
322201210121121121200
43021222331002000
523412132333243
61315423421200
7146563052325
oct31152750200
98653547550
103383480448
111486982a37
127a5154800
1341bc9094a
1424150ab4c
1514c092ad3
hexc9abd080

3383480448 has 48 divisors (see below), whose sum is σ = 9736320750. Its totient is φ = 1127826432.

The previous prime is 3383480447. The next prime is 3383480449. The reversal of 3383480448 is 8440843833.

It is an interprime number because it is at equal distance from previous prime (3383480447) and next prime (3383480449).

It can be written as a sum of positive squares in only one way, i.e., 3353799744 + 29680704 = 57912^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33834804482 = 22895879883996561408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3383480447) 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 5 ways as a sum of consecutive naturals, for example, 1467373 + ... + 1469676.

Almost surely, 23383480448 is an apocalyptic number.

It is an amenable number.

3383480448 is an abundant number, since it is smaller than the sum of its proper divisors (6352840302).

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

3383480448 is a wasteful number, since it uses less digits than its factorization.

3383480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937069 (or 2937054 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3383480448 is about 58167.6924761504. The cubic root of 3383480448 is about 1501.2553118351.

The spelling of 3383480448 in words is "three billion, three hundred eighty-three million, four hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2937049 5874098 8811147 11748196 17622294 23496392 26433441 35244588 46992784 52866882 70489176 93985568 105733764 140978352 187971136 211467528 281956704 375942272 422935056 563913408 845870112 1127826816 1691740224 3383480448