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3897830304 = 253253255361
BaseRepresentation
bin1110100001010100…
…0010101110100000
3101001122110021222100
43220111002232200
530440321032204
61442440010400
7165410003514
oct35025025640
911048407870
103897830304
111720250665
12909460a00
134a16cb484
1428d95a144
1517c2e2a39
hexe8542ba0

3897830304 has 72 divisors (see below), whose sum is σ = 11293639812. Its totient is φ = 1274757120.

The previous prime is 3897830239. The next prime is 3897830311. The reversal of 3897830304 is 4030387983.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3871328400 + 26501904 = 62220^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3897830304.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 112417 + ... + 142944.

Almost surely, 23897830304 is an apocalyptic number.

It is an amenable number.

3897830304 is an abundant number, since it is smaller than the sum of its proper divisors (7395809508).

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

3897830304 is a wasteful number, since it uses less digits than its factorization.

3897830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255430 (or 255419 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3897830304 is about 62432.6060964942. The cubic root of 3897830304 is about 1573.7689621694.

The spelling of 3897830304 in words is "three billion, eight hundred ninety-seven million, eight hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 255361 510722 766083 1021444 1532166 2042888 2298249 3064332 4085776 4596498 6128664 8171552 9192996 12257328 13534133 18385992 24514656 27068266 36771984 40602399 54136532 73543968 81204798 108273064 121807197 162409596 216546128 243614394 324819192 433092256 487228788 649638384 974457576 1299276768 1948915152 3897830304