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3189144 = 233741463
BaseRepresentation
bin1100001010100110011000
320000000200110
430022212120
51304023034
6152204320
736051540
oct14124630
96000613
103189144
111889062
1210996a0
1387878a
145d0320
1542ede9
hex30a998

3189144 has 64 divisors (see below), whose sum is σ = 9354240. Its totient is φ = 887040.

The previous prime is 3189139. The next prime is 3189161. The reversal of 3189144 is 4419813.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6657 + ... + 7119.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

Almost surely, 23189144 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 3189144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677120).

3189144 is an abundant number, since it is smaller than the sum of its proper divisors (6165096).

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

3189144 is a wasteful number, since it uses less digits than its factorization.

3189144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 3189144 is about 1785.8174598766. The cubic root of 3189144 is about 147.1944301216.

It can be divided in two parts, 3189 and 144, that added together give a palindrome (3333).

The spelling of 3189144 in words is "three million, one hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 463 492 574 861 926 984 1148 1389 1722 1852 2296 2778 3241 3444 3704 5556 6482 6888 9723 11112 12964 18983 19446 25928 37966 38892 56949 75932 77784 113898 132881 151864 227796 265762 398643 455592 531524 797286 1063048 1594572 3189144