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331660242 = 232172294733
BaseRepresentation
bin10011110001001…
…011101111010010
3212010002002022200
4103301023233102
51134401111432
652524344030
711135031324
oct2361135722
9763062280
10331660242
11160239281
12930a5016
1353934684
1432095614
151e1b4a7c
hex13c4bbd2

331660242 has 48 divisors (see below), whose sum is σ = 764351640. Its totient is φ = 103574016.

The previous prime is 331660187. The next prime is 331660279. The reversal of 331660242 is 242066133.

331660242 is a `hidden beast` number, since 3 + 3 + 16 + 602 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 323244441 + 8415801 = 17979^2 + 2901^2 .

It is a super-2 number, since 2×3316602422 = 219997032246997128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67708 + ... + 72440.

Almost surely, 2331660242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331660242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382175820).

331660242 is an abundant number, since it is smaller than the sum of its proper divisors (432691398).

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

331660242 is a wasteful number, since it uses less digits than its factorization.

331660242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 331660242 is about 18211.5414504100. The cubic root of 331660242 is about 692.1992713005.

The spelling of 331660242 in words is "three hundred thirty-one million, six hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 306 458 687 1374 2061 3893 4122 4733 7786 9466 11679 14199 23358 28398 35037 42597 70074 80461 85194 160922 241383 482766 724149 1083857 1448298 2167714 3251571 6503142 9754713 18425569 19509426 36851138 55276707 110553414 165830121 331660242