Search a number
-
+
1322043104 = 25192518663
BaseRepresentation
bin100111011001100…
…1100011011100000
310102010122202012102
41032303030123200
510201420334404
6335103545532
744522116034
oct11663143340
93363582172
101322043104
11619293608
1230a8bb2a8
13180b85335
14c781c1c4
157b0e671e
hex4eccc6e0

1322043104 has 48 divisors (see below), whose sum is σ = 2750993280. Its totient is φ = 623664000.

The previous prime is 1322043089. The next prime is 1322043109. The reversal of 1322043104 is 4013402231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322043109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148277 + ... + 156939.

It is an arithmetic number, because the mean of its divisors is an integer number (57312360).

Almost surely, 21322043104 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 1322043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375496640).

1322043104 is an abundant number, since it is smaller than the sum of its proper divisors (1428950176).

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

1322043104 is a wasteful number, since it uses less digits than its factorization.

1322043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1322043104 is about 36359.9106709574. The cubic root of 1322043104 is about 1097.5269798595.

Adding to 1322043104 its reverse (4013402231), we get a palindrome (5335445335).

The spelling of 1322043104 in words is "one billion, three hundred twenty-two million, forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 251 304 502 608 1004 2008 4016 4769 8032 8663 9538 17326 19076 34652 38152 69304 76304 138608 152608 164597 277216 329194 658388 1316776 2174413 2633552 4348826 5267104 8697652 17395304 34790608 41313847 69581216 82627694 165255388 330510776 661021552 1322043104