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327630464 = 277252237
BaseRepresentation
bin10011100001110…
…011111010000000
3211211111100111122
4103201303322000
51132333133324
652302131412
711055545600
oct2341637200
9754440448
10327630464
11158a36687
1291880b68
1352b533a5
1431726c00
151db6aa5e
hex13873e80

327630464 has 48 divisors (see below), whose sum is σ = 759279330. Its totient is φ = 140410368.

The previous prime is 327630463. The next prime is 327630491. The reversal of 327630464 is 464036723.

It can be written as a sum of positive squares in only one way, i.e., 291726400 + 35904064 = 17080^2 + 5992^2 .

It is not an unprimeable number, because it can be changed into a prime (327630463) 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, 19847 + ... + 32390.

Almost surely, 2327630464 is an apocalyptic number.

It is an amenable number.

327630464 is an abundant number, since it is smaller than the sum of its proper divisors (431648866).

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

327630464 is an equidigital number, since it uses as much as digits as its factorization.

327630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52265 (or 52246 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 327630464 is about 18100.5652950398. The cubic root of 327630464 is about 689.3843588001.

The spelling of 327630464 in words is "three hundred twenty-seven million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 52237 104474 208948 365659 417896 731318 835792 1462636 1671584 2559613 2925272 3343168 5119226 5850544 6686336 10238452 11701088 20476904 23402176 40953808 46804352 81907616 163815232 327630464