Search a number
-
+
1043455644 = 22327111013727
BaseRepresentation
bin111110001100011…
…101111010011100
32200201110001001100
4332030131322130
54114111040034
6251312513100
734600140510
oct7614357234
92621401040
101043455644
11496004740
1225154b790
1313824389a
149c820140
1561917099
hex3e31de9c

1043455644 has 144 divisors (see below), whose sum is σ = 3321916416. Its totient is φ = 268272000.

The previous prime is 1043455607. The next prime is 1043455681. The reversal of 1043455644 is 4465543401.

1043455644 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 5 + 5 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (1043455607) and next prime (1043455681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1043455599 and 1043455608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278109 + ... + 281835.

It is an arithmetic number, because the mean of its divisors is an integer number (23068864).

Almost surely, 21043455644 is an apocalyptic number.

1043455644 is a gapful number since it is divisible by the number (14) 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 1043455644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660958208).

1043455644 is an abundant number, since it is smaller than the sum of its proper divisors (2278460772).

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

1043455644 is a wasteful number, since it uses less digits than its factorization.

1043455644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 1043455644 is about 32302.5640468369. The cubic root of 1043455644 is about 1014.2803165109.

The spelling of 1043455644 in words is "one billion, forty-three million, four hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 101 126 132 154 198 202 231 252 303 308 396 404 462 606 693 707 909 924 1111 1212 1386 1414 1818 2121 2222 2772 2828 3333 3636 3727 4242 4444 6363 6666 7454 7777 8484 9999 11181 12726 13332 14908 15554 19998 22362 23331 25452 26089 31108 33543 39996 40997 44724 46662 52178 67086 69993 78267 81994 93324 104356 122991 134172 139986 156534 163988 234801 245982 279972 286979 313068 368973 376427 469602 491964 573958 737946 752854 860937 939204 1129281 1147916 1475892 1505708 1721874 2258562 2582811 2634989 3387843 3443748 4140697 4517124 5165622 5269978 6775686 7904967 8281394 10331244 10539956 12422091 13551372 15809934 16562788 23714901 24844182 28984879 31619868 37266273 47429802 49688364 57969758 74532546 86954637 94859604 115939516 149065092 173909274 260863911 347818548 521727822 1043455644