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1327834284 = 223731509921
BaseRepresentation
bin100111100100101…
…0010010010101100
310102112112222012120
41033021102102230
510204411144114
6335432032540
744622255660
oct11711222254
93375488176
101327834284
11621589607
12310832750
1318213227a
14c84c88a0
157b88c5a9
hex4f2524ac

1327834284 has 48 divisors (see below), whose sum is σ = 3655120896. Its totient is φ = 367142400.

The previous prime is 1327834279. The next prime is 1327834289. The reversal of 1327834284 is 4824387231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1327834279) and next prime (1327834289).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1327834289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252357 + ... + 257564.

It is an arithmetic number, because the mean of its divisors is an integer number (76148352).

Almost surely, 21327834284 is an apocalyptic number.

1327834284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1327834284 is an abundant number, since it is smaller than the sum of its proper divisors (2327286612).

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

1327834284 is a wasteful number, since it uses less digits than its factorization.

1327834284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509966 (or 509964 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 1327834284 is about 36439.4605338773. The cubic root of 1327834284 is about 1099.1272095996.

The spelling of 1327834284 in words is "one billion, three hundred twenty-seven million, eight hundred thirty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 509921 1019842 1529763 2039684 3059526 3569447 6119052 7138894 10708341 14277788 15807551 21416682 31615102 42833364 47422653 63230204 94845306 110652857 189690612 221305714 331958571 442611428 663917142 1327834284