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331104 = 2533449
BaseRepresentation
bin1010000110101100000
3121211012010
41100311200
541043404
611032520
72546214
oct1206540
9554163
10331104
11206844
1213b740
13b7927
1488944
1568189
hex50d60

331104 has 24 divisors (see below), whose sum is σ = 869400. Its totient is φ = 110336.

The previous prime is 331099. The next prime is 331127. The reversal of 331104 is 401133.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 331104.

It is a congruent number.

It is an unprimeable number.

331104 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 1629 + ... + 1820.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2331104 is an apocalyptic number.

It is an amenable number.

331104 is an abundant number, since it is smaller than the sum of its proper divisors (538296).

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

331104 is a wasteful number, since it uses less digits than its factorization.

331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331104 is about 575.4163709871. The cubic root of 331104 is about 69.1812082134.

Adding to 331104 its reverse (401133), we get a palindrome (732237).

It can be divided in two parts, 331 and 104, that added together give a triangular number (435 = T29).

The spelling of 331104 in words is "three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3449 6898 10347 13796 20694 27592 41388 55184 82776 110368 165552 331104