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1342321024 = 27114322171
BaseRepresentation
bin101000000000010…
…0011000110000000
310110112210222021111
41100000203012000
510222113233044
6341110333104
745156353242
oct12000430600
93415728244
101342321024
11629783720
1231565a194
131851350c5
14ca3ba092
157cc9eb34
hex50023180

1342321024 has 64 divisors (see below), whose sum is σ = 2985238080. Its totient is φ = 595929600.

The previous prime is 1342320997. The next prime is 1342321027. The reversal of 1342321024 is 4201232431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1342320986 and 1342321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342321027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49459 + ... + 71629.

It is an arithmetic number, because the mean of its divisors is an integer number (46644345).

Almost surely, 21342321024 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 1342321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492619040).

1342321024 is an abundant number, since it is smaller than the sum of its proper divisors (1642917056).

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

1342321024 is a wasteful number, since it uses less digits than its factorization.

1342321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22239 (or 22227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1342321024 is about 36637.6994910980. The cubic root of 1342321024 is about 1103.1099386367.

Adding to 1342321024 its reverse (4201232431), we get a palindrome (5543553455).

The spelling of 1342321024 in words is "one billion, three hundred forty-two million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 344 352 473 688 704 946 1376 1408 1892 2752 3784 5504 7568 15136 22171 30272 44342 60544 88684 177368 243881 354736 487762 709472 953353 975524 1418944 1906706 1951048 2837888 3813412 3902096 7626824 7804192 10486883 15253648 15608384 20973766 30507296 31216768 41947532 61014592 83895064 122029184 167790128 335580256 671160512 1342321024