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331960068 = 2232114491867
BaseRepresentation
bin10011110010010…
…100111100000100
3212010122022121100
4103302110330010
51134440210233
652535020100
711140420416
oct2362247404
9763568540
10331960068
11160423570
129320a630
1353a0ac9b
14321329b6
151e223813
hex13c94f04

331960068 has 72 divisors (see below), whose sum is σ = 917935200. Its totient is φ = 100316160.

The previous prime is 331960063. The next prime is 331960073. The reversal of 331960068 is 860069133.

It is a happy number.

331960068 is a `hidden beast` number, since 33 + 19 + 600 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (331960063) and next prime (331960073).

It is a super-2 number, since 2×3319600682 = 220394973493129248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331960063) 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 23 ways as a sum of consecutive naturals, for example, 176871 + ... + 178737.

It is an arithmetic number, because the mean of its divisors is an integer number (12749100).

Almost surely, 2331960068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331960068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458967600).

331960068 is an abundant number, since it is smaller than the sum of its proper divisors (585975132).

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

331960068 is a wasteful number, since it uses less digits than its factorization.

331960068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 331960068 is about 18219.7713487299. The cubic root of 331960068 is about 692.4077947674.

The spelling of 331960068 in words is "three hundred thirty-one million, nine hundred sixty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 449 898 1347 1796 1867 2694 3734 4041 4939 5388 5601 7468 8082 9878 11202 14817 16164 16803 19756 20537 22404 29634 33606 41074 44451 59268 61611 67212 82148 88902 123222 177804 184833 246444 369666 739332 838283 1676566 2514849 3353132 5029698 7544547 9221113 10059396 15089094 18442226 27663339 30178188 36884452 55326678 82990017 110653356 165980034 331960068