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331889327 = 71121392819
BaseRepresentation
bin10011110010000…
…011101010101111
3212010111201120022
4103302003222233
51134430424302
652533312355
711140004240
oct2362035257
9763451508
10331889327
11160385400
12931956bb
13539b4a23
1432114cc7
151e20c8a2
hex13c83aaf

331889327 has 24 divisors (see below), whose sum is σ = 420067200. Its totient is φ = 256663440.

The previous prime is 331889303. The next prime is 331889329. The reversal of 331889327 is 723988133.

It is not a de Polignac number, because 331889327 - 28 = 331889071 is a prime.

It is a super-2 number, since 2×3318893272 = 220301050753025858, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331889329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116324 + ... + 119142.

It is an arithmetic number, because the mean of its divisors is an integer number (17502800).

Almost surely, 2331889327 is an apocalyptic number.

331889327 is a deficient number, since it is larger than the sum of its proper divisors (88177873).

331889327 is a wasteful number, since it uses less digits than its factorization.

331889327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2976 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 331889327 is about 18217.8299201634. The cubic root of 331889327 is about 692.3586070244.

The spelling of 331889327 in words is "three hundred thirty-one million, eight hundred eighty-nine thousand, three hundred twenty-seven".

Divisors: 1 7 11 77 121 139 847 973 1529 2819 10703 16819 19733 31009 117733 217063 341099 391841 2387693 2742887 4310251 30171757 47412761 331889327