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321463368 = 233221132
BaseRepresentation
bin10011001010010…
…010010001001000
3211101220000211200
4103022102101020
51124243311433
651522024200
710652251662
oct2312222110
9741800750
10321463368
11155504206
128b7a8060
13517a4315
143099d532
151d34d613
hex13292448

321463368 has 36 divisors (see below), whose sum is σ = 871042185. Its totient is φ = 107103744.

The previous prime is 321463367. The next prime is 321463381. The reversal of 321463368 is 863364123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

321463368 is a `hidden beast` number, since 3 + 2 + 14 + 633 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170615844 + 150847524 = 13062^2 + 12282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12678.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (321463361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151080 + ... + 153192.

Almost surely, 2321463368 is an apocalyptic number.

It is an amenable number.

321463368 is an abundant number, since it is smaller than the sum of its proper divisors (549578817).

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

321463368 is an equidigital number, since it uses as much as digits as its factorization.

321463368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238 (or 2118 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 321463368 is about 17929.3995437661. The cubic root of 321463368 is about 685.0314283980.

The spelling of 321463368 in words is "three hundred twenty-one million, four hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2113 4226 6339 8452 12678 16904 19017 25356 38034 50712 76068 152136 4464769 8929538 13394307 17859076 26788614 35718152 40182921 53577228 80365842 107154456 160731684 321463368