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331889328 = 24322304787
BaseRepresentation
bin10011110010000…
…011101010110000
3212010111201120100
4103302003222300
51134430424303
652533312400
711140004241
oct2362035260
9763451510
10331889328
11160385401
1293195700
13539b4a24
1432114cc8
151e20c8a3
hex13c83ab0

331889328 has 30 divisors (see below), whose sum is σ = 928829564. Its totient is φ = 110629728.

The previous prime is 331889303. The next prime is 331889329. The reversal of 331889328 is 823988133.

331889328 is a `hidden beast` number, since 3 + 318 + 8 + 9 + 328 = 666.

It is a super-2 number, since 2×3318893282 = 220301052080583168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (331889329) 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 5 ways as a sum of consecutive naturals, for example, 1152250 + ... + 1152537.

Almost surely, 2331889328 is an apocalyptic number.

It is an amenable number.

331889328 is an abundant number, since it is smaller than the sum of its proper divisors (596940236).

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

331889328 is a wasteful number, since it uses less digits than its factorization.

331889328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304801 (or 2304792 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 331889328 is about 18217.8299476090. The cubic root of 331889328 is about 692.3586077197.

The spelling of 331889328 in words is "three hundred thirty-one million, eight hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2304787 4609574 6914361 9219148 13828722 18438296 20743083 27657444 36876592 41486166 55314888 82972332 110629776 165944664 331889328