Search a number
-
+
3413844 = 22327192331
BaseRepresentation
bin1101000001011101010100
320102102220200
431001131110
51333220334
6201100500
741005620
oct15013524
96372820
103413844
111a21965
121187730
13926b35
1464c180
15476799
hex341754

3413844 has 144 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 855360.

The previous prime is 3413831. The next prime is 3413849. The reversal of 3413844 is 4483143.

3413844 = 582 + 592 + ... + 2182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110109 + ... + 110139.

Almost surely, 23413844 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 3413844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591040).

3413844 is an abundant number, since it is smaller than the sum of its proper divisors (7768236).

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

3413844 is a wasteful number, since it uses less digits than its factorization.

3413844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3413844 is about 1847.6590594588. The cubic root of 3413844 is about 150.5732729299.

Adding to 3413844 its reverse (4483143), we get a palindrome (7896987).

The spelling of 3413844 in words is "three million, four hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 23 28 31 36 38 42 46 57 62 63 69 76 84 92 93 114 124 126 133 138 161 171 186 207 217 228 252 266 276 279 322 342 372 399 414 434 437 483 532 558 589 644 651 684 713 798 828 868 874 966 1116 1178 1197 1302 1311 1426 1449 1596 1748 1767 1932 1953 2139 2356 2394 2604 2622 2852 2898 3059 3534 3906 3933 4123 4278 4788 4991 5244 5301 5796 6118 6417 7068 7812 7866 8246 8556 9177 9982 10602 12236 12369 12834 13547 14973 15732 16492 18354 19964 21204 24738 25668 27094 27531 29946 36708 37107 40641 44919 49476 54188 55062 59892 74214 81282 89838 94829 110124 121923 148428 162564 179676 189658 243846 284487 379316 487692 568974 853461 1137948 1706922 3413844