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331484166 = 232135212719
BaseRepresentation
bin10011110000100…
…000110000000110
3212002202010210100
4103300200300012
51134324443131
652520504530
711133366066
oct2360406006
9762663710
10331484166
11160128a62
129301b146
13538a24a0
143204b3a6
151e17c7e6
hex13c20c06

331484166 has 48 divisors (see below), whose sum is σ = 775232640. Its totient is φ = 101761920.

The previous prime is 331484159. The next prime is 331484177. The reversal of 331484166 is 661484133.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 331484166.

It is a congruent number.

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, 120555 + ... + 123273.

It is an arithmetic number, because the mean of its divisors is an integer number (16150680).

Almost surely, 2331484166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331484166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387616320).

331484166 is an abundant number, since it is smaller than the sum of its proper divisors (443748474).

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

331484166 is a wasteful number, since it uses less digits than its factorization.

331484166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3258 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 331484166 is about 18206.7066214623. The cubic root of 331484166 is about 692.0767551045.

The spelling of 331484166 in words is "three hundred thirty-one million, four hundred eighty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 521 1042 1563 2719 3126 4689 5438 6773 8157 9378 13546 16314 20319 24471 35347 40638 48942 60957 70694 106041 121914 212082 318123 636246 1416599 2833198 4249797 8499594 12749391 18415787 25498782 36831574 55247361 110494722 165742083 331484166