Search a number
-
+
1043113344 = 27371329851
BaseRepresentation
bin111110001011001…
…010010110000000
32200200210122111120
4332023022112000
54114014111334
6251301312240
734564213530
oct7613122600
92620718446
101043113344
114958a0549
12251405680
13138153b40
149c7714c0
156189a949
hex3e2ca580

1043113344 has 128 divisors (see below), whose sum is σ = 3410292480. Its totient is φ = 275097600.

The previous prime is 1043113343. The next prime is 1043113363. The reversal of 1043113344 is 4433113401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043113343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20019 + ... + 49869.

It is an arithmetic number, because the mean of its divisors is an integer number (26642910).

Almost surely, 21043113344 is an apocalyptic number.

1043113344 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 1043113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705146240).

1043113344 is an abundant number, since it is smaller than the sum of its proper divisors (2367179136).

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

1043113344 is a wasteful number, since it uses less digits than its factorization.

1043113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888 (or 29876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1043113344 is about 32297.2652712269. The cubic root of 1043113344 is about 1014.1693946505.

Adding to 1043113344 its reverse (4433113401), we get a palindrome (5476226745).

The spelling of 1043113344 in words is "one billion, forty-three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 29851 34944 59702 89553 119404 179106 208957 238808 358212 388063 417914 477616 626871 716424 776126 835828 955232 1164189 1253742 1432848 1552252 1671656 1910464 2328378 2507484 2716441 2865696 3104504 3343312 3820928 4656756 5014968 5432882 5731392 6209008 6686624 8149323 9313512 10029936 10865764 11462784 12418016 13373248 16298646 18627024 20059872 21731528 24836032 26746496 32597292 37254048 40119744 43463056 49672064 65194584 74508096 80239488 86926112 130389168 149016192 173852224 260778336 347704448 521556672 1043113344