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1214828384 = 257211219337
BaseRepresentation
bin100100001101000…
…1100111101100000
310010122220200020212
41020122030331200
54441444002014
6320313553252
742050604500
oct11032147540
93118820225
101214828384
11573814600
1229aa15828
131648b6983
14b74ada00
15719b923e
hex4868cf60

1214828384 has 216 divisors, whose sum is σ = 3228596280. Its totient is φ = 447068160.

The previous prime is 1214828383. The next prime is 1214828387. The reversal of 1214828384 is 4838284121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214828383) 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 35 ways as a sum of consecutive naturals, for example, 3604664 + ... + 3605000.

It is an arithmetic number, because the mean of its divisors is an integer number (14947205).

Almost surely, 21214828384 is an apocalyptic number.

1214828384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614298140).

1214828384 is an abundant number, since it is smaller than the sum of its proper divisors (2013767896).

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

1214828384 is a wasteful number, since it uses less digits than its factorization.

1214828384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 1214828384 is about 34854.3883033399. The cubic root of 1214828384 is about 1067.0177486685.

The spelling of 1214828384 in words is "one billion, two hundred fourteen million, eight hundred twenty-eight thousand, three hundred eighty-four".