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331980 = 223511503
BaseRepresentation
bin1010001000011001100
3121212101120
41101003030
541110410
611040540
72551605
oct1210314
9555346
10331980
11207470
12140150
13b814c
1488dac
1568570
hex510cc

331980 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 80320.

The previous prime is 331973. The next prime is 331997. The reversal of 331980 is 89133.

It is a super-2 number, since 2×3319802 = 220421440800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331980.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2331980 is an apocalyptic number.

331980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

331980 is an abundant number, since it is smaller than the sum of its proper divisors (684084).

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

331980 is a wasteful number, since it uses less digits than its factorization.

331980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 331980 is about 576.1770561208. The cubic root of 331980 is about 69.2421652655.

The spelling of 331980 in words is "three hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 503 660 1006 1509 2012 2515 3018 5030 5533 6036 7545 10060 11066 15090 16599 22132 27665 30180 33198 55330 66396 82995 110660 165990 331980