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1214835328 = 2771355843
BaseRepresentation
bin100100001101000…
…1110101010000000
310010122221000210001
41020122032222000
54441444212303
6320314045344
742050633650
oct11032165200
93118830701
101214835328
11573819843
1229aa19854
131648b9b95
14b74b2360
15719bb31d
hex4868ea80

1214835328 has 32 divisors (see below), whose sum is σ = 2765921760. Its totient is φ = 520643328.

The previous prime is 1214835301. The next prime is 1214835329. The reversal of 1214835328 is 8235384121.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1214835329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 677026 + ... + 678817.

It is an arithmetic number, because the mean of its divisors is an integer number (86435055).

Almost surely, 21214835328 is an apocalyptic number.

It is an amenable number.

1214835328 is an abundant number, since it is smaller than the sum of its proper divisors (1551086432).

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

1214835328 is an equidigital number, since it uses as much as digits as its factorization.

1214835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355864 (or 1355852 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 1214835328 is about 34854.4879176269. The cubic root of 1214835328 is about 1067.0197817011.

The spelling of 1214835328 in words is "one billion, two hundred fourteen million, eight hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1355843 2711686 5423372 9490901 10846744 18981802 21693488 37963604 43386976 75927208 86773952 151854416 173547904 303708832 607417664 1214835328