Search a number
-
+
328807368 = 233221372
BaseRepresentation
bin10011100110010…
…011001111001000
3211220201010220200
4103212103033020
51133133313433
652343252200
711101550031
oct2346231710
9756633820
10328807368
1115966a92a
129214a060
1353175c96
1431951a88
151dcee613
hex139933c8

328807368 has 36 divisors (see below), whose sum is σ = 890936865. Its totient is φ = 109551168.

The previous prime is 328807363. The next prime is 328807393. The reversal of 328807368 is 863708823.

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.

328807368 is a `hidden beast` number, since 3 + 288 + 0 + 7 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232806564 + 96000804 = 15258^2 + 9798^2 .

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=12822.

It is a super-2 number, since 2×3288073682 = 216228570502174848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328807363) 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, 152796 + ... + 154932.

Almost surely, 2328807368 is an apocalyptic number.

It is an amenable number.

328807368 is an abundant number, since it is smaller than the sum of its proper divisors (562129497).

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

328807368 is an equidigital number, since it uses as much as digits as its factorization.

328807368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 328807368 is about 18133.0462967478. The cubic root of 328807368 is about 690.2088340788.

The spelling of 328807368 in words is "three hundred twenty-eight million, eight hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2137 4274 6411 8548 12822 17096 19233 25644 38466 51288 76932 153864 4566769 9133538 13700307 18267076 27400614 36534152 41100921 54801228 82201842 109602456 164403684 328807368