Search a number
-
+
1020041334 = 2321319313733
BaseRepresentation
bin111100110011001…
…001100001110110
32122002101110122200
4330303021201312
54042112310314
6245115005330
734164131304
oct7463114166
92562343580
101020041334
11483872174
12245739846
13133436370
1499687274
155e83e709
hex3ccc9876

1020041334 has 96 divisors (see below), whose sum is σ = 2516797920. Its totient is φ = 295985664.

The previous prime is 1020041317. The next prime is 1020041359. The reversal of 1020041334 is 4331400201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1391232 + ... + 1391964.

It is an arithmetic number, because the mean of its divisors is an integer number (26216645).

Almost surely, 21020041334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020041334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258398960).

1020041334 is an abundant number, since it is smaller than the sum of its proper divisors (1496756586).

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

1020041334 is a wasteful number, since it uses less digits than its factorization.

1020041334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020041334 is about 31938.0859476582. The cubic root of 1020041334 is about 1006.6363066781.

Adding to 1020041334 its reverse (4331400201), we get a palindrome (5351441535).

The spelling of 1020041334 in words is "one billion, twenty million, forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 313 342 494 626 733 741 939 1466 1482 1878 2199 2223 2817 4069 4398 4446 5634 5947 6597 8138 9529 11894 12207 13194 13927 17841 19058 24414 27854 28587 35682 36621 41781 53523 57174 73242 77311 83562 85761 107046 125343 154622 171522 181051 229429 231933 250686 362102 458858 463866 543153 688287 695799 1086306 1376574 1391598 1629459 2064861 2982577 3258918 4129722 4359151 5965154 8718302 8947731 13077453 17895462 26154906 26843193 39232359 53686386 56668963 78464718 113337926 170006889 340013778 510020667 1020041334